Question

If f ( x ) = x 4 + 6 , g ( x ) = x − 5 and h ( x ) = √ x , then f ( g ( h ( x ) ) ) =

Answer 1

fgh(x)=4
`√(x)` -14

Explanation:

when solving composite fuctions we go from the right to the left

meaning we replace the x in the g function with the entire h function

then replace the x in the f function with the entire new g function

h(x)=
`√(x)`

g(
`√(x)`)=
`√(x)` -5

f(
`√(x)`-5)=4(
`√(x)` -5)+6

f(
`√(x)`-5)=4
`√(x)` -20+6

fgh(x)=4
`√(x)` -14