Question

find f(x+h)-f(x)/(h) for the given function f. f(x)=9x+3

Answer 1

it is the slope
the slope of \(9x+3\) is ?

Answer 2

9

Answer 3

how do you know that the answer is the slope?

Answer 4

:)

Answer 5

because this represents the change in \(y\) over the change in \(x\) which, for a line, is the slope
we can do the algebra if you like

Answer 6

yes please

Answer 7

\[. f(x)=9x+3\]
\[f(x+h)-f(x)=9(x+h)+3-(9x+3)=9x+9h+3-9x-3=9h\]

Answer 8

\[\frac{f(x+h)-f(x)}{h}=\frac{9h}{h}=9\]