SOLUTION: Evaluate the function for f(x)x^2+1 and g(x)=x-4 (fg)(-6)

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Question 883000: Evaluate the function for f(x)x^2+1 and g(x)=x-4

(fg)(-6)
Answer by Leaf W.(135) About Me  (Show Source):
You can put this solution on YOUR website!
Hello!
***
(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.
***
First, let us find g(-6):
g(x) = x - 4
g(-6) = -6 - 4 = -10
***
Now, let us plug that into f to find f(g(-6)):
f%28x%29+=+x%5E2+%2B+1
f%28g%28-6%29%29+=+f%28-10%29+=+%28-10%29%5E2+%2B+1+=+100+%2B+1+=+101
***
Therefore, (fg)(-6) = 101
Let me know if you need any further clarification! =)