Question

Still confusing to me!!!!

Answer 1

(a) 2(x -a)

(b) 4x +2h

Explanation:

Fill in the function arguments and simplify.

a.

`(f(x)-f(a))/(x-a)=((2x^2-7)-(2a^2-7))/(x-a)\\\\=(2x^2-7-2a^2+7)/(x-a)=(2(x^2-a^2))/(x-a)\\\\=(2(x-a)(x+a))/((x-a))=2(x+a)`

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b.

`(f(x+h)-f(x))/(h)=((2(x+h)^2-7)-(2x^2-7))/(h)\\\\=(2x^2+4xh+2h^2-7-2x^2+7)/(h)=(4xh+2h^2)/(h)\\\\=4x+2h`