Question

For f(x) = √x and g(x) = x + 9, find the following functions.

a. (f o g)(x) =
(Simplify your answer.)
b. (g o f)(x) =
(Simplify your answer.)
c. (f o g)(7) =
(Simplify your answer.)
d. (g o f)(7) =
(Simplify your answer.)
Show your work below.

Answer 1

Part a

`(f \circ g)(x)=f(g(x))=√(x+9)`

Part b

`(g \circ f)(x)=g(f(x))=√(x)+9`

Part c

`(f \circ g)(7)=√(7+9)=4`

Part d

`(g \circ f)(7)=√(7)+9`