SOLUTION: =========== =========== =========== =========== =========== =========== =========== =========== ======= 3.21 Find f+g, f-g and f/g. Determine the domain for each function. f

Algebra.Com
Question 1012855: =======================================================================================================
3.21
Find f+g, f-g and f/g. Determine the domain for each function.
f(x)=4x+8, g(x)=x-5
a. (f+g)(x)=
b.What is the domain of f+g:
c.(f-g)(x)=
d. What is the domain of f-g
e. (fg)(x)=
f. What is the domain of fg:
g. (f/g)(x)=
h. What is the domain of f/g:

Answer by MathLover1(20850)   (Show Source): You can put this solution on YOUR website!

Find f+g, f-g and f/g. Determine the domain for each function.
,
a.


b.What is the domain of f+g:
all real numbers: { element }

c.



d. What is the domain of f-g
all real numbers: { element }
e.



f. What is the domain of fg:
all real numbers: { element }

g.


h. What is the domain of f/g:
{ element : }


RELATED QUESTIONS

f(x)=3x, and g(x)=4x-3, find f[g(5)] and... (answered by Nate)
Find f"circle"g and g"circle"f. f(x)= -2x; g(x)= -2x^2... (answered by stanbon)
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)
If f(x)=2x-1 and g(x)=x^2 find : 1. g(g(x)) 2. g(f(x)) 3. f(g(x)) 4.... (answered by fcabanski)
Find the functions f + g, f − g, fg, and f/g f(x)=x^2+3;g(x)= √x+3 f+g= (answered by swincher4391)
If f(x)=2x^2-x-3 and g(x)=2x-6 find (f-g)(f) (answered by ikleyn)
let f(x) = 12x^2 - 29x+10, and let a=10. find f(a+h) - f(a)/h f(x)=-5/23 x+33, (answered by Alan3354)
f•(h•g)](3) (answered by math-vortex)
Suppose F(x) = f(g(x)) where f(-2)=8 f'(-2)=4 f'(5)=3 g(5)=-2 g'(5)=6 Find... (answered by math_tutor2020)
Given f(x) = tan(x) + 1 and g(x) = x^3 find... (answered by Edwin McCravy)