Question

f(x)=5
g(x)=sqrt x+2
find:
(f-g)(x)
(f • g(x)
(f/g)(x)
(f o g)(x)

Answer 1

f(x) = 5

g(x) = $\sqrt{x + 2}$

(f-g)(x) = 5 -  $\sqrt{x + 2}$

(f * g)(x) = 5$(\sqrt{x + 2})$ = $5\sqrt{x + 2}$

(f/g)(x) = $\frac{5}{\sqrt{x + 2}}$ = $\frac{5\sqrt{x + 2}}{{x + 2}}$

f(g(x)) = 5