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

Mathematics

1 answer:

zaharov [31]2 years ago

3 0

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

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If y = 4x – 1, which of the following sets represents possible inputs and outputs of the function, represented as ordered pairs?

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Hello!

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