Question

For which pairs of functions is (f•g)(x)=x of functions is (f•g)(x)=x

Answer 1

Answer:

Option A

Step-by-step explanation:

The complete question is shown in the attachment.

Note that: $(f\cdot g)(x)=f(x)\cdot g(x)$

We need to multiply all the functions to see which of them satisfy the given criteria.

Option A

$x^2\cdot \frac{1}{x} =\frac{x^2}{x}=x$

Option B

$\frac{2}{x} \cdot \frac{2}{c} =\frac{4}{cx}$

Option C

$\frac{x-2}{3} \cdot 2-3x =\frac{-3x^2+8x-4}{3}$

Option D

$\frac{1}{2x-2} \cdot \frac{1}{2x+2} =\frac{1}{4(x^2-1)}$

The correct choice is A