g(x)= 5x^2 -16x +3

find: g(x+h) - g(x) all divided by h

Question

g(x)= 5x^2 -16x +3

find: g(x+h) - g(x) all divided by h

luigi0210 · Answer

The derivative by definition?

anonymous · Answer

no you have to plug in g(x) into the equation and I dont know how to do it for the first part

anonymous · Answer

$$g(x)= 5x^2 -16x +3 \
g(\heartsuit)= 5\heartsuit^2 -16\heartsuit +3 \
g(\spadesuit)= 5\spadesuit^2 -16\spadesuit+3 \
g(\diamondsuit)= 5\diamondsuit^2 -16\diamondsuit +3 \
g(\clubsuit)= 5\clubsuit^2 -16\clubsuit+3 \
g(x+h)= 5(x+h)^2 -16(x+h) +3 $$

anonymous · Answer

on my study guide it says that the answer is 10x +5h -16

anonymous · Answer

what i wrote is only the first step

anonymous · Answer

$$g(x+h)= 5(x+h)^2 -16(x+h) +3$$
you have to multiply that out, combine like terms

anonymous · Answer

then subtract $g(x)$ from it

anonymous · Answer

yeah sorry i kinda jumped the gun

anonymous · Answer

then divide everything by $h$

anonymous · Answer

it is a bunch of algebra from here on in

anonymous · Answer

okay that makes perfect sense, thank you very much.

anonymous · Answer

yw
don't forget to square properly
and don't forget to use parentheses when you subtract $g(x)$

anonymous · Answer

5x^2-16x+3
5^x2-15x-3x+3
factor out  5x(x-3)-(x-3)
combine (5x-1)(x-3) are ur answers

anonymous · Answer

lol no

anonymous · Answer

sorry wrong problem