If f(x)=4x, g(x)=5x-3, and h(x)=√x, find (fogoh)(4)?

Question

kj4uts · Answer

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kj4uts · Answer

I attached a picture of the question above please help!

akashdeepdeb · Answer

Do you know what this means: (fogoh)(x) ?

akashdeepdeb · Answer

(fogoh)(x) means f ( g ( h ( x) ) )
Read as, f of g of h of x. [(fogoh)(x)]

Now, you're given that:

f(x)=4x
g(x)=5x-3
h(x)=√x

The question asks us to find 

(fogoh)(4) = f ( g ( h(4) ) )

What is h(4)?

Well,  
h(x) = √x
h(4) = √4 = 2

So, f ( g ( h(4) ) ) = f ( g(2) )

What is g(2)?

g(x) = 5x-3
g(2) = 5(2) - 3 = 7

So, f ( g(2) ) = f(7)

What is f(7)?

Find that and you'll have your answer.

Getting this? :)