Maths-
General
Easy

Question

The function g is defined as g left parenthesis x right parenthesis equals fraction numerator 2 x over denominator 3 end fraction plus 3 . What is the value of g left parenthesis negative 30 right parenthesis?

  1. -27
  2. -23
  3. -17
  4. -7

hintHint:

Hint:
We are given the value of a function g left parenthesis x right parenthesis . And we need to find the value of the function at a particular point x = -30. Simply, we put the value  in the given function to get the desired result.

The correct answer is: -17


    The given function is
    g left parenthesis x right parenthesis equals fraction numerator 2 x over denominator 3 end fraction plus 3
    This equation is satisfied by all values of x.
    So it is also satisfied by x = - 30
    Thus, we get,
    g left parenthesis negative 30 right parenthesis equals fraction numerator 2 times left parenthesis negative 30 right parenthesis over denominator 3 end fraction plus 3
    Simplifying the numerator in the first term, we get,
    g left parenthesis negative 30 right parenthesis equals fraction numerator negative 60 over denominator 3 end fraction plus 3
    Dividing -60  by 3, we have
    g left parenthesis negative 30 right parenthesis equals negative 20 plus 3
    Finally, we have
    g left parenthesis negative 30 right parenthesis equals negative 17
    Thus, the correct option is C)

    Note:
    We can be given any function and asked to find the value of any expression like g left parenthesis a right parenthesis plus g left parenthesis b right parenthesis times g left parenthesis c right parenthesis, etc. The process is similar to above. Just carefully find the value of g  at the different values of x  given and calculate the final expression.

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