Question
If for a particular one-to-one function 
and 
, what are the corresponding input and output values for the inverse function?
Hint:
We are given two one-two-one functions. We have to find the input and output values of the inverse of the functions.
The correct answer is:
We are given two functions. One to one functions means, for every element in first set there is only one element in the second set.
To solve this question we will take the inverse of both the sides of the function.
Taking the inverse we can write.
iven 
And for 
When we take the inverse, the input of the function becomes the output and output of the function becomes the input.
We will find the option that matches the above values.
For such questions, we should know the properties of inverse function.
Related Questions to study
If the number path is given by the function such that
Start with x.
Subtract 3.
Multiply by – 2.
Add 5.
Find the function and f(1).
For such questions, we should know the concept of function.
If the number path is given by the function such that
Start with x.
Subtract 3.
Multiply by – 2.
Add 5.
Find the function and f(1).
For such questions, we should know the concept of function.
Find the range of the function 
For such questions, we should know the concept of range.
Find the range of the function
For such questions, we should know the concept of range.
Write an equation that represents the inverse of 
Write an equation that represents the inverse of
Observe the graph and write the expression for function g.
The number which produces a given number when cubed is called as cube root
Observe the graph and write the expression for function g.
The number which produces a given number when cubed is called as cube root
How does the graph 
compared to the graph of 
?
The number which produces a given number when cubed is called as cube root
How does the graph compared to the graph of ?
The number which produces a given number when cubed is called as cube root
How does the graph 
compared to the graph of ?
The number which produces a given number when cubed is called cube root.
How does the graph compared to the graph of ?
The number which produces a given number when cubed is called cube root.
A cube has the same volume as a box that is 4 ft 3 in. long, 2 ft 5 in. wide, and 3 ft 3 in. deep. Find the length of the cube.
The number which produces a given number when cubed is called as cubhe root
A cube has the same volume as a box that is 4 ft 3 in. long, 2 ft 5 in. wide, and 3 ft 3 in. deep. Find the length of the cube.
The number which produces a given number when cubed is called as cubhe root
How does the graph 
compared to graph of 
?
a diagram (such as a series of one or more points, lines, line segments, curves, or areas) that represents the variation of a variable in comparison with that of one or more other variables
How does the graph compared to graph of ?
a diagram (such as a series of one or more points, lines, line segments, curves, or areas) that represents the variation of a variable in comparison with that of one or more other variables
Write an expression for the function which has a translation by 4 units left of 
.
Transformation of functions is a unique way of changing the formula of a function minimally and playing around with the graph.
Write an expression for the function which has a translation by 4 units left of .
Transformation of functions is a unique way of changing the formula of a function minimally and playing around with the graph.
Find the minimum value of 
.
The minimum and maximum of a function are also called extreme points or extreme values of the function.
Find the minimum value of .
The minimum and maximum of a function are also called extreme points or extreme values of the function.
Find the minimum value of 
.
The minimum and maximum of a function are also called extreme points or extreme values of the function.
Find the minimum value of .
The minimum and maximum of a function are also called extreme points or extreme values of the function.
Evaluate: 
.
CUbe root can be negative.
Evaluate: .
CUbe root can be negative.
Find the average rate of change of 
.
Find the average rate of change of .
Observe the graph and select the statement which is true.
Transformation of functions is a unique way of changing the formula of a function minimally and playing around with the graph.
Observe the graph and select the statement which is true.
Transformation of functions is a unique way of changing the formula of a function minimally and playing around with the graph.
How does the graph 
compared to the graph of ?.
Transformation of functions is a unique way of changing the formula of a function minimally and playing around with the graph.
How does the graph compared to the graph of ?.
Transformation of functions is a unique way of changing the formula of a function minimally and playing around with the graph.
