Problem

Given $f(x)=9 x$ and $g(x)=4 x^{2}+7$, find the following expressions (a) $(f \circ g)(4)$ (b) $(g \circ f)(2)$ (c) $(f \circ f)(1)$ $(d)(g \circ g)(0)$ (a) $(f \circ g)(4)=$ (Simplify your answer.)

Solution

Step 1 :Find the value of g(4) by substituting 4 into the function g(x) = 4x^2 + 7. This gives g(4) = 4*(4^2) + 7 = 71.

Step 2 :Substitute the result from step 1 into the function f(x) = 9x. This gives f(g(4)) = 9*71 = 639.

Step 3 :\( (f \circ g)(4) = \boxed{639} \)

From Solvely APP
Source: https://solvelyapp.com/problems/18699/

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