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

Algebra.Com
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)   (Show Source): You can put this solution on YOUR website!
Start with the third function.


Replace each "x" with


Combine like terms.


Replace each "x" with



So the answer is

RELATED QUESTIONS

If f(x)=3x_1, u(x)= square root x, and h(x)=1/(x+1), find... (answered by stanbon)
If f(x)=3x+1, u(x)=square root x, and h(x)=1/(x+1), find h(f(u(x)). (answered by Fombitz,rapaljer)
If h is the function given by h(x)= f(g(x)) where f(x)= 3x^2 -1 and g(x)= the absolute... (answered by stanbon)
1. f(x)=x-1 g(x)= square root of x h(x)=x-1 a) Find f(g(3)) b) Find... (answered by josgarithmetic)
If F(x)= x(1-x), find [F(x+h)... (answered by algebrapro18)
if f(x)=1/2x find f(x+h)-f(x)/h, h cannot equal... (answered by Alan3354)
If f(x)= square root 2x^2-1 and g(x)=x^1/2, find and simplify a) (f+g)(x) b) (f-g)(x) (answered by Alan3354)
If f(x)= 1/x, find... (answered by Boreal)
3. If f(x)=square root 2x^2-1 and g(x)=x^1/2, find (and simplify) a) (f+g)(x) b)... (answered by CPhill)