Problem

Let $g(x)=3 x+4$ and $h(x)=x-6$. Find $(h \circ g)(4)$
$(h \circ g)(4)=\square($ Simplify your answer. Type an integer or a fraction.)

Answer

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Answer

So, the composition of the functions h(g(4)) = \(\boxed{10}\).

Steps

Step 1 :Let's first find the value of g(4). Substitute x = 4 into the function g(x) = 3x + 4, we get g(4) = 3*4 + 4 = 16.

Step 2 :Now, substitute g(4) = 16 into the function h(x) = x - 6, we get h(16) = 16 - 6 = 10.

Step 3 :So, the composition of the functions h(g(4)) = \(\boxed{10}\).

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