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) =
`√(x + 2)`

(f-g)(x) = 5 -
`√(x + 2)`

(f * g)(x) = 5
`(√(x + 2))` =
`5√(x + 2)`

(f/g)(x) =
`(5)/(√(x + 2))` =
`\frac{5√(x + 2)}{{x + 2}}`

f(g(x)) = 5