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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

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