Question

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

Answer 1

Answer:

fgh(x)=4$\sqrt{x}$ -14

Step-by-step 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)=$\sqrt{x}$

g($\sqrt{x}$)=$\sqrt{x}$ -5

f($\sqrt{x}$-5)=4($\sqrt{x}$ -5)+6

f($\sqrt{x}$-5)=4$\sqrt{x}$ -20+6

fgh(x)=4$\sqrt{x}$ -14