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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

2 Answers

2 votes

Answer:

b

Explanation:

Which pair of expressions represents inverse functions?

A.

and

B.

and

C.

and

D.

and

User Ajaykumar Mistry
by
9.0k points
4 votes

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 .

User Ritesh Jung Thapa
by
8.0k points

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