SOLUTION: Let f(x)=x^2, g(x)=2x-3
a. Find (f+g)(2)=5
b. Find (f+g)(x)=x^2+2x-3
c. Find the domain of (f/g)(x): x does not equals 3/2
d. Find the range of f+g=?
e. Find (f/g)(x)=x^2/2x-3
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Question 1128439: Let f(x)=x^2, g(x)=2x-3
a. Find (f+g)(2)=5
b. Find (f+g)(x)=x^2+2x-3
c. Find the domain of (f/g)(x): x does not equals 3/2
d. Find the range of f+g=?
e. Find (f/g)(x)=x^2/2x-3
Can you check my answers? Thank you!!!
Answer by josgarithmetic(39625) (Show Source): You can put this solution on YOUR website!
?
b.
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Find (f+g)(x)=x^2+2x-3
----------------------------
?
Yes because that is the sum of f and g; the meaning of (f+g)(x).
The RANGE for ?
The function is a polynomial, and all real values for x are allowed (domain).
The function is a parabola with a minimum point vertex.
Vertex, a minimum point, is (-1,-4).
RANGE: The real numbers greater than or equal to negative four.
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