SOLUTION: 3.14 Given that f(x)=2x+7 and g(x)=5x^2, find f+g, f-g, fg, and f/g. Determine the domain for each function. a. (f+g)(x)= b. what is the domain of f+g: c. (f-g)(x)=

Question 1013090: 3.14
Given that f(x)=2x+7 and g(x)=5x^2, find f+g, f-g, fg, and f/g. Determine the domain for
each function.
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 nerdybill(7384) (Show Source): You can put this solution on YOUR website!
Given that f(x)=2x+7 and g(x)=5x^2, find f+g, f-g, fg, and f/g. Determine the domain for
each function.
a. (f+g)(x)=2x+7 + 5x^2
(f+g)(x)=5x^2+2x+7
b. what is the domain of f+g:
all real numbers
c. (f-g)(x)=2x+7 - 5x^2
(f-g)(x)=-5x^2+2x+7
d. what is the domain of f-g:
all real numbers
e. (fg)(x)=(2x+7)(5x^2)
(fg)(x)=10x^3+35x^2
f. what is the domain of fg:
all real numbers
g. (f/g)(x)=(2x+7)/(5x^2)
h. what is the domain of f/g:
all real numbers EXCEPT x=0
or, in interval notation:
(-oo, 0) U (0,+oo)
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