Given f(x)=4x^2-9 and g(x)=2x+3 find each value given f(x)=4x^2-9 and g(x)=2x+3 find each value find each value 1. (f+g)(x) 2. (f-g)(x) 3. (fg)(x) 4. f(g(3)) 5. g(f(3))

Given,

f(x)=4x^2-9

g(x)=2x+3

1.

(f+g)(x)=f(x) + g(x)

=4x^2-9+2x+3

=4x^2+2x-6

2.

(f-g)(x)=f(x)-g(x)

4x^2-9-2x-3

=4x^2-2x-12

when x=3, then,

f(3)=4×(3)^2-9=27

g(3)=2×3+3=9

5.

f(g(3))=f(9)=4×(9)^2-9

=312

5.

g(f(3))=g(27)=2×27+3=57

step-by-step explanation:

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