Question

if f(x)=3-x^2 , find f(2+triangle x) HELLPPP:(

Answer 1

replace x with 2 + triangle x:

\[3 - (2+\Delta{x})^2\]

Answer 2

If necessary, you can also expand the binomial square

Answer 3

im still confused:( online math dictionaries and such described the triangle x to be another way to say the slope or at least along that line.

Answer 4

but 3-x^2 is a parabola

Answer 5

I will find out what it should be

Answer 6

Apparently we do have to expand the \[ (2+\Delta{x})^2 \]

Answer 7

If we do that, we will get: \[3-(4+2\Delta {x} +( \Delta{x})^2)\]

Answer 8

Which simplifies to \[-1 - 2\Delta{x} -(\Delta{x})^2\]

Answer 9

So that should be it

Answer 10

wait wouldnt it be -1-4Δx-(Δx)^2 ?