So...

I'm a little confused as of what I got to do here but this is what I've done so far.

$\displaystyle

f(x)

$ is given. Find $\displaystyle f(x+\Delta x)$.

$\displaystyle

f(x) = x^2+1

$

$\displaystyle

(x+\Delta x)^2 + 1

$

$\displaystyle

(x+\Delta x)(x+\Delta x)+1

$

$\displaystyle

= x^2+2x\Delta x+\Delta x^2+1

$

So...That it I'm done?