SOLUTION: I am having trouble solving by factoring. Here is the problem, my work and my solution. I need help in checking my work. If f(x) = x

SOLUTION: I am having trouble solving by factoring. Here is the problem, my work and my solution. I need help in checking my work. If f(x) = x - 6 and g(x) = x^2 + 1, then what is g(f(x

Question 389762: I am having trouble solving by factoring. Here is the problem, my work and my solution. I need help in checking my work.
If f(x) = x - 6 and g(x) = x^2 + 1, then what is g(f(x))?
My work and answer:
f(x) = x - 6
g(x - 6) = (x - 6)^2 + 1
= x^2 + 36 + 1
= x^2 + 37 [this is my answer, but I am not sure if this is correct.]
Thanks for any help you can provide, and I need a sounding board and a check.
Answer by scott8148(6628) (Show Source): You can put this solution on YOUR website!
(x - 6)^2 is (x - 6)*(x - 6) ___ you have to FOIL the binomial to square it

(x - 6)^2 = x^2 - 12x + 36

the rest of the work looks good
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