SOLUTION: If f(x)=3x+1, u(x)= square root x, and h(x)=1/(x+1), find h(f(u(x))

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Question 177051: If f(x)=3x+1, u(x)= square root x, and h(x)=1/(x+1), find h(f(u(x))
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
h%28x%29=1%2F%28x%2B1%29 Start with the third function.


h%28f%28x%29%29=1%2F%283x%2B1%2B1%29 Replace each "x" with 3x%2B1


h%28f%28x%29%29=1%2F%283x%2B2%29 Combine like terms.


h%28f%28u%28x%29%29%29=1%2F%283%2Asqrt%28x%29%2B2%29 Replace each "x" with sqrt%28x%29



So the answer is h%28f%28u%28x%29%29%29=1%2F%283%2Asqrt%28x%29%2B2%29