SOLUTION: f(x)= √x; g(x)=4x-5
Find f/g.
(f/g)(x)=
Domain=
Algebra.Com
Question 972019: f(x)= √x; g(x)=4x-5
Find f/g.
(f/g)(x)=
Domain=
Found 2 solutions by josgarithmetic, farohw:
Answer by josgarithmetic(39618) (Show Source): You can put this solution on YOUR website!
The first step is substitution. Simplify.
Answer by farohw(175) (Show Source): You can put this solution on YOUR website!
Hello,
Since (f/g)(x) = f(x)/g(x)
then
To find the domain:
is
and is . Since is a rational function, the denominator cannot equal zero. So it must be avoided.
Therefore,
or
where x does not equal 5/4.
RELATED QUESTIONS
f(x)= 1/x-1; g(x)= √x
find f(g(g)) and g(f(g)). State the... (answered by stanbon)
For the real-valued functions f(x) =4x+5 and g(x) = √x-4 find the composition... (answered by Boreal)
Let f(x) = √(x+5) and g(x) = x ^2 – 1. Find (f °g)(x) and (g... (answered by greenestamps)
f(x)=3x, and g(x)=4x-3, find f[g(5)] and... (answered by Nate)
Suppose that the functions f and g are defined as follows.
f(x)= 1/ 4x^2 +1
g(x)=... (answered by aaronwiz)
Consider the following functions.
f(x) = √(81 − x^2), g(x) = √(x^2... (answered by harpazo)
3.14
Given f(x)=x-4 and g(x)=4x^2, find f+g, f-g, fg, and f/g. Determine the domain... (answered by ikleyn)
Find (g of f)(x) and domain of (g of f)
f(x)=4x+5
g(x)= 2/x
(g of f)(x)=... (answered by stanbon)
========================================================================================== (answered by MathLover1)