IDNLearn.com is designed to help you find reliable answers to any question you have. Our platform provides detailed and accurate responses from experts, helping you navigate any topic with confidence.

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

Sagot :

Answer:

fgh(x)=4[tex]\sqrt{x}[/tex] -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)=[tex]\sqrt{x}[/tex]

g([tex]\sqrt{x}[/tex])=[tex]\sqrt{x}[/tex] -5

f([tex]\sqrt{x}[/tex]-5)=4([tex]\sqrt{x}[/tex] -5)+6

f([tex]\sqrt{x}[/tex]-5)=4[tex]\sqrt{x}[/tex] -20+6

fgh(x)=4[tex]\sqrt{x}[/tex] -14