Question

Which function has an inverse that is a function ?

Answer 1

C

Explanation:

Answer 2

`m(x)= -7x`

Explanation:

A fuction has an inverse if it passes vertical line test.

`b(x)= x^2+3` is a horizontal U shaped graph . when we draw a vertical line then it crosses the inverse graph at two points. So it is not a function.

`d(x)= -9`

Inverse graph is a vertical line that does not pass vertical line test. so it is not a function.

`m(x)= -7x`

Inverse graph is a graph of a line (linear function). Linear function always passes vertical line test. Inverse is a function

`p(x)= |x|`

Inverse of absolute funciton does not pass vertical line test, so it is not a function.