Question

I need help with my Pre-Calculus work!Question:Consider the functions ()=2+6 and ()=−6‾‾‾‾‾‾‾√. Write function rules for ∘ and ∘, and give the domain of each.(())=Domain of ∘: (())=Domain of ∘:Are and inverse functions? Why or why not?

Answer 1

()= ^2 + 6

()= √(x - 6)

fog = (√(x - 6))^2 + 6

= x - 6 + 6

= x

Domain is all real numbers.

gof = √(^2 + 6 - 6)

= √(^2)

= x

Domain is all real numbers.

Both functions are inverse functions because fog and gof = x.