Suppose f(x)= sqrt x^2+6x+10 and g(x)= 9x+8

Question

(f(g(x))=

(f(g(x)(-2)=

Answer 1

To solve (f(g(x)):

Substitute g(x) into f(x):
f(g(x)) = sqrt((9x+8)^2 + 6(9x+8) + 10)

To solve (f(g(x)(-2)):

Substitute g(x)(-2) into f(x):
f(g(x)(-2)) = sqrt((-2)^2 + 6(-2) + 10)