Find and simplify the difference quotient f(x+h)-f(x)/h

Question

(h) can’t equal 0 for the given function

f(x)= x^2+4x+3

Answer 1

f(x+h) = (x+h)^2 + 4(x+h) + 3

= x^2 + 2xh + h^2 + 4x + 4h + 3

subtracting f(x).....

2xh + h^2 + 4h

Dividing by h:

2x + h + 4

For info about calculus, please read on....

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When you get to calculus, you take the limit as h gets closer and close to zero...

the difference quotient becomes the derivative, which is then 2x+4...

you will learn ways to calculate this faster...