Question

F(x) = x2 + 9, g(x) = *square root of* x + 8,

find g(f(x))

Answer 1

g(f(x)) = √(x^2 +17)

Explanation:

For ...

f(x) = x^2 +9

g(x) = √(x +8)

The definition of g(f(x)) is ...

g(f(x)) = g(x^2 +9) = √((x^2 +9) +8)

g(f(x)) = √(x^2 +17)