Question

If f (x) = 4x² + 3x - 5, then f(x+h)-f(x)/ h is equal to which of the following?​
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Answer 1

Option 3

Explanation:

`f(x)=4x^2 + 3x-5 \\ \\ f(x+h)=4(x+h)^2+3(x+h)-5 \\ \\ =4(x^2+2xh+h^2)+3x+3h-5 \\ \\ f(x+h)-f(x)=4(x^2+ 2xh+h^2)+3(x+h)-5-(4x^2+3x-5) \\ \\ (f(x+h)-f(x))/(h)=(4(x^2+ 2xh+h^2)+3(x+h)-5-(4x^2+3x-5))/(h)`