Maths-
General
Easy

Question

If f left parenthesis x right parenthesis equals open parentheses 10 minus x to the power of 7 end exponent close parentheses to the power of 1 divided by 7 end exponent, then f o f left parenthesis x right parenthesis equals

  1. 10    
  2. x    
  3. x to the power of 7 end exponent    
  4. 10 to the power of 7 end exponent    

hintHint:

The composition of functions f(x) and g(x) where g(x) is acting first is represented by f(g(x)) or (f ∘ g)(x). It combines two or more functions to result in another function. In the composition of functions, the output of one function that is inside the parenthesis becomes the input of the outside function. i.e.,
  • In f(g(x)), g(x) is the input of f(x).
  • In g(f(x)), f(x) is the input of g(x).

The correct answer is: x


     Givenf left parenthesis x right parenthesis equals open parentheses 10 minus x to the power of 7 end exponent close parentheses to the power of 1 divided by 7 end exponent
    To findf o f left parenthesis x right parenthesis
    rightwards double arrow f o f left parenthesis x right parenthesis space equals space f left parenthesis f left parenthesis x right parenthesis right parenthesis
rightwards double arrow f left parenthesis f left parenthesis x right parenthesis right parenthesis space equals space left parenthesis 10 space minus space left parenthesis f left parenthesis x right parenthesis right parenthesis to the power of 7 right parenthesis to the power of 1 over 7 end exponent rightwards double arrow f left parenthesis f left parenthesis x right parenthesis right parenthesis space equals space left parenthesis space 10 space minus space open square brackets left parenthesis 10 space minus space x to the power of 7 right parenthesis to the power of 1 over 7 end exponent close square brackets to the power of 7 right parenthesis to the power of 1 over 7 end exponent
rightwards double arrow f left parenthesis f left parenthesis x right parenthesis right parenthesis space equals space left parenthesis 10 space minus space 10 space plus space x to the power of 7 right parenthesis to the power of 1 over 7 end exponent
rightwards double arrow f left parenthesis f left parenthesis x right parenthesis right parenthesis space equals space left parenthesis x to the power of 7 right parenthesis to the power of 1 over 7 end exponent
rightwards double arrow f left parenthesis f left parenthesis x right parenthesis right parenthesis space space equals space x
     Thus, f o f left parenthesis x right parenthesis equals x 

    Related Questions to study

    General
    physics-

    A graph of moving body with constant acceleration is given in the figure. What is the velocity aftertime t ?

    A graph of moving body with constant acceleration is given in the figure. What is the velocity aftertime t ?

    physics-General
    General
    physics-

    The graph of displacement (x) rightwards arrow time (t) for an object is given in the figure. In which part of the graph the acceleration of the particle is positive ?

    The graph of displacement (x) rightwards arrow time (t) for an object is given in the figure. In which part of the graph the acceleration of the particle is positive ?

    physics-General
    General
    physics-

    In the above figure acceleration (a) rightwards arrow time (t) graph is given. Hence V invisible function application alpha horizontal ellipsis horizontal ellipsis

    In the above figure acceleration (a) rightwards arrow time (t) graph is given. Hence V invisible function application alpha horizontal ellipsis horizontal ellipsis

    physics-General
    parallel
    General
    physics-

    Here is a velocity - time graph of a motorbike moving in one direction. Calculate the distance covered by it in last two seconds.

    Here is a velocity - time graph of a motorbike moving in one direction. Calculate the distance covered by it in last two seconds.

    physics-General
    General
    physics

    According to Kepler, the period of revolution of a planet (T) and its mean distance from the, sun (r) are related by the equation

    According to Kepler, the period of revolution of a planet (T) and its mean distance from the, sun (r) are related by the equation

    physicsGeneral
    General
    chemistry-

    Which of the following ions forms highly soluble hydroxide in water

    Which of the following ions forms highly soluble hydroxide in water

    chemistry-General
    parallel
    General
    physics-

    Here are the graphs of velocity rightwards arrow time of two cars A and B, Find the ratio of the acceleration. after time t.

    Here are the graphs of velocity rightwards arrow time of two cars A and B, Find the ratio of the acceleration. after time t.

    physics-General
    General
    physics-

    The graph given in the figure shows that the body is moving with.....

    The graph given in the figure shows that the body is moving with.....

    physics-General
    General
    physics-

    A particle is moving in a straight line with initial velocity of 10 text end text m s to the power of negative 1 end exponent. A graph of acceleration rightwards arrow tine of the particle is given in the figure. Find velocity at t=10 s.

    A particle is moving in a straight line with initial velocity of 10 text end text m s to the power of negative 1 end exponent. A graph of acceleration rightwards arrow tine of the particle is given in the figure. Find velocity at t=10 s.

    physics-General
    parallel
    General
    physics-

    In the figure there is a graph of a rightwards arrow x for a moving particle. Hence fraction numerator d a over denominator d t end fraction equals horizontal ellipsis. V

    In the figure there is a graph of a rightwards arrow x for a moving particle. Hence fraction numerator d a over denominator d t end fraction equals horizontal ellipsis. V

    physics-General
    General
    physics-

    In the figure Velocity (V) rightwards arrow position graph is given. Find the true equation.

    In the figure Velocity (V) rightwards arrow position graph is given. Find the true equation.

    physics-General
    General
    physics-

    Given figure shows a graph at acceleration rightwards arrow time for a rectilinear motion. Find average acceleration in first 10 seconds.

    Given figure shows a graph at acceleration rightwards arrow time for a rectilinear motion. Find average acceleration in first 10 seconds.

    physics-General
    parallel
    General
    physics-

    A particle is projected vertically upwards with velocity 30 text end text m s to the power of negative 1 end exponent. Find the ratio of average speed and instantaneous velocity after 6 s. left square bracket g equals 10 text end text m s to the power of negative 1 end exponent ]

    A particle is projected vertically upwards with velocity 30 text end text m s to the power of negative 1 end exponent. Find the ratio of average speed and instantaneous velocity after 6 s. left square bracket g equals 10 text end text m s to the power of negative 1 end exponent ]

    physics-General
    General
    chemistry-

    Which one is known as barytes

    Which one is known as barytes

    chemistry-General
    General
    physics

    The largest and shortest distance of the earth from the sun are r1 and r2 its distance from the sun when it is at the perpendicular to the major axis of the orbit drawn from the sun

    The largest and shortest distance of the earth from the sun are r1 and r2 its distance from the sun when it is at the perpendicular to the major axis of the orbit drawn from the sun

    physicsGeneral
    parallel

    card img

    With Turito Academy.

    card img

    With Turito Foundation.

    card img

    Get an Expert Advice From Turito.

    Turito Academy

    card img

    With Turito Academy.

    Test Prep

    card img

    With Turito Foundation.