Question 883000
Hello!
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(fg)(-6) essentially means f(g(-6)) -- that is, you find g(-6) by plugging -6 into the g function, then plug the resulting value into the f function.
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First, let us find g(-6):
g(x) = x - 4
g(-6) = -6 - 4 = -10
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Now, let us plug that into f to find f(g(-6)):
{{{f(x) = x^2 + 1}}}
{{{f(g(-6)) = f(-10) = (-10)^2 + 1 = 100 + 1 = 101}}}
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Therefore, (fg)(-6) = 101
Let me know if you need any further clarification! =)