Question

Consider the function below. x -1 0 1 2 f(x) -2 3 8 13 Which of the following functions could be the inverse of function f? A. x 1 0 -1 -2 s(x) -2 3 8 13 B. x -2 3 8 13 q(x) -1 0 1 2 C. x -2 -3 -8 -13 r(x) 1 0 -1 -2 D. x -1 0 1 2 p(x) 2 -3 -8 -13

Answer 1

The correct option is B.

Explanation:

The table of values of a function is given below:

x : -1 0 1 2

f(x) : -2 3 8 13

If a function is defined f:R→R

`f(x)=\{(x,y):x\in R,y\in R\}`

them the inverse of function is defined as

`f^(-1)(x)=\{(y,x):x\in R,y\in R\}`

The table of values of inverse function is

x : -2 3 8 13

f⁻¹(x): -1 0 1 2

We can say that q(x) is the inverse function of f(x). Therefore the correct option is B.

Answer 2

Answer: B

x q(x)

-2 -1

3 0

8 1

13 2

Explanation:

An inverse of a function is a reflection across the y=x line. This results in each (x,y) point becoming (y,x).

x f(x)

-1 -2

0 3

1 8

2 13

So the inverse becomes:

x Inverse

-2 -1

3 0

8 1

13 2