Question

I’m having a hard time understa

Answer 1

Answer:

option B

Step-by-step explanation:

to find the pair whose (f o g) (x) = x

so,

 (f o g) (x)  means f (g(x))  means inserting value of g(x) in function f(x)

a) (f o g )(x) =  f(g(x)) =  $f(\dfrac{1}{x}) = \dfrac{1}{x^2}$

b) (f o g )(x) =  f(g(x)) =  $f(\dfrac{2}{x}) = \dfrac{2}{\dfrac{2}{x}}$

                                = x

hence, the correct answer is option B

Answer 2

Answer:

option b

Step-by-step explanation:

$f(x) = \frac{2}{x} \\\\g(x) = \frac{2}{x}$

(fog)(x)= $\frac{2}{\frac{2}{x}} = \frac{2x}{2} = x$