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Leya [2.2K]
3 years ago
8

Given f (x )equals 5 x plus 9 and g (x )equals 3 x squared​, first find f plus g​, f minus g​, ​fg, and StartFraction f Over g E

ndFraction . Then determine the domain for each function.
Mathematics
1 answer:
andriy [413]3 years ago
8 0

Answer with Step-by-step explanation:

We are given that

f(x)=5x+9

g(x)=3x^2

f(x) is linear function

Domain of f(x)=R

g(x) is a quadratic function

Domain of g(x)=R

(f+g)(x)=f(x)+g(x)=5x+9+3x^2

Domain of (f+g)=R

(f-g)(x)=f(x)-g(x)=5x+9-3x^2

Domain of (f-g)=R

fg(x)=f(g(x))=f(3x^2)=5(3x^2)+9=15x^2+9

Domain of fg=R

\frac{f}{g}=\frac{5x+9}{3x^2}

The function is not defined where g(x)=0

3x^2=0

x=0

Domain of f/g=R-{0}

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