Question

Which pair of expressions represents inverse functions?

a. 4x+2/x-3 and 5x+3/4x-2
b. x+3/4x-2 and 2x+3/4x-1
c. 4-3x/4x-2 and x+2/x-2
d. 2x+5 and 2+5x

Answer 1

b

Explanation:

Which pair of expressions represents inverse functions?

A.

and

B.

and

C.

and

D.

and

Answer 2

In this question , we have to find, which option represents inverse functions.

Let's check out option b

Let it be y

So we have

`y = (x+3)/(4x-2)`

Switching x and y and solving for y,

`x = (y+3)/(4y-2)`

Performing cross multiplication

`4xy -2x = y+3`

Combining like terms

`y(4x-1) = 3+2x`

`y = (2x+3)/(4x-1) \\ f^(-1) (x) = (2x+3)/(4x-1)`

Which is same as of the other function.

So correct option is b .