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Given f(x)=3x22x6f(x)=3 x^{2}-2 x-6 And g(x)=3x+5g(x)=3 x+5 , Find Each of the Following

Question 84

Essay

Given f(x)=3x22x6f(x)=3 x^{2}-2 x-6 and g(x)=3x+5g(x)=3 x+5 , find each of the following. Simplify the expression when possible.
(a) (fg)(x)(f-g)(x)
(b) fg(x)\frac{f}{g}(x)
(c) the domain of fg\frac{f}{g}
(d) (fg)(x)(f \circ g)(x)
(e) f(x+h)f(x)h(h0)\frac{f(x+h)-f(x)}{h}(h \neq 0)

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(b) blured image
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