Question

Please help! It's due soon.

the picture is the only thing that matters.

Consider these functions:

For x ≥ 0, the value of f(g(x)) is __
For x ≥ 0, the value of g(f(x)) is __
For x ≥ 0, functions f and g __ inverse functions

Answer 1

X

X

are

Explanation:

Answer 2

Because f(g(x)) = g(f(x)) = x, f and g are inverse functions.

Explanation:

f(g(x)) = f(
`(1)/(4)√(x)`) =
`16((1)/(4)√(x) ) ^(2) = 16((1)/(16)x)=x`

g(f(x)) = g
`(16x^(2)) = (1)/(4)\sqrt{16x^(2) } = (1)/(4)(4x) = x`