SOLUTION: Find f compose g compose h. f(x) = 6x−5, g(x) = sin(x), h(x) = x^2

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Question 827846: Find f compose g compose h.
f(x) = 6x−5, g(x) = sin(x), h(x) = x^2
Answer by jsmallt9(3758) About Me  (Show Source):
You can put this solution on YOUR website!
What you describe can also be written as
f(g(h(x)))
Since h%28x%29+=+x%5E2 we can substitute in:
f%28g%28x%5E2%29%29
Since g(x) = sin(x), then g%28x%5E2%29+=+sin%28x%5E2%29. Substituting this in we have:
f%28sin%28x%5E2%29%29
Since f(x) = 6x-5:
f%28sin%28x%5E2%29%29+=+6%28sin%28x%5E2%29%29-5+=+6sin%28x%5E2%29-5

So f%28g%28h%28x%29%29%29+=+6sin%28x%5E2%29-5