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 177006: If f(x)=3x+1, u(x)=square root x, and h(x)=1/(x+1), find h(f(u(x)).
Found 2 solutions by Fombitz, rapaljer:
Answer by Fombitz(32388)   (Show Source): You can put this solution on YOUR website!
Let's go step by step.



.
.
.


.
.
.



Answer by rapaljer(4671)   (Show Source): You can put this solution on YOUR website!
Given f(x)=3x+1, u(x)=square root x, and h(x)=1/(x+1), find h(f(u(x)).

First,
f(x)=3x+1, u(x)=, so to find f(u(x)) substitute the u(x) into the formula for f(x) like this: f(u(x))= 3+1.

Next, h(f(u(x))), substitute f(u(x)) into the formula for h(x) like this:



R^2

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... (answered by jim_thompson5910)
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)