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
[tex] y = \frac{x+3}{4x-2} [/tex]
Switching x and y and solving for y,
[tex] x = \frac{y+3}{4y-2} [/tex]
Performing cross multiplication
[tex] 4xy -2x = y+3 [/tex]
Combining like terms
[tex] y(4x-1) = 3+2x [/tex]
[tex] y = \frac{2x+3}{4x-1} \\ f^{-1} (x) = \frac{2x+3}{4x-1} [/tex]
Which is same as of the other function.
So correct option is b .
Answer:
b
Step-by-step explanation:
Which pair of expressions represents inverse functions?
A.
and
B.
and
C.
and
D.
and
