Question

Find the difference quotient of f(x)=6x+2. Here's what I did: http://oi44.tinypic.com/a4bjtu.jpg I'm having trouble with these even though it feels like it should be easy.

Answer 1

f(x)=6x+2

f(x+h)=6(x+h)+2

f(x+h)=6x+6h+2

Answer 2

that should help you fix what you're missing

Answer 3

No, I don't think you did that quite correctly.

\[f(x) = 6x+2\]\[f(x+h) = 6(x+h)+2\]
Difference quotient:
\[\frac{f(x+h)-f(x)}{h} = \frac{6(x+h)+2 - (6x+2)}{h}\]

Answer 4

I'm always making copying mistakes... Thank you.

Answer 5

When you make f(x+h) from f(x), you replace each x you see with (x+h)...

Answer 6

What do you get for the final result?

Answer 7

6