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Find (f o g)(-8) when f(x) = - 7x-2 and g(x)= - 4x² + 3x – 8.
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User Dmarnel
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1 Answer

4 votes

Final answer:

To find (f o g)(-8), first calculate g(-8) equal to -288, then plug this into f(x) to get f(-288) equal to 2014.

Step-by-step explanation:

To find the composite function (f o g)(-8), you first need to calculate g(-8) and then apply the result to the function f. Let's start by finding g(-8).

Given g(x) = - 4x² + 3x – 8, we substitute x with -8:

g(-8) = - 4(-8)² + 3(-8) – 8

g(-8) = - 4(64) - 24 - 8

g(-8) = - 256 - 24 - 8

g(-8) = - 288

Now we have determined that g(-8) is -288, we can proceed to find (f o g)(-8), which means plugging g(-8) into f(x):

Given f(x) = - 7x - 2, substitute x with -288:

f(g(-8)) = f(-288)

f(-288) = - 7(-288) - 2

f(-288) = 2016 - 2

f(-288) = 2014

So, the result of the composite function (f o g)(-8) is 2014.

User Ekchang
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