Question

Which function has an inverse that is a function ?

Answer 1

Answer:

$m(x)= -7x$

Step-by-step 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.

Answer 2

Answer:

C

Step-by-step explanation: