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

A. f(x)=x^2 and g(x)=1/x
B.f(x)=2/x and g(x)=2/c
C. f(x)=x-2/3 and g(x)=2-3x
D. f(x)=1/2x-2 and g(x)=1/2x+2

Help pls

Answer :

Answer:

option A would be correct.

Step-by-step explanation:

The only pairs of function [tex]f(x)=x^2[/tex] and [tex]g(x)=\frac{1}{x}[/tex] satisfying (f•g)(x)=x.

Check:

[tex]\left (f\cdot g\right )(x)[/tex][tex]=f\left (x\right )g(x)[/tex]

= [tex]x^2\cdot \frac{1}{x}[/tex] = [tex]x[/tex].

(f•g)(x)=x.

Therefore, from the options only Option A would be the required answer



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