Gfunction-help?

Question

The function g has defining equation g(x) = x^2 - 3x + 2. Find (and simplify) g(4+h).

Answer 1

so what you do is put the 4+h into all the x spots.
g(4+h)=(4+h)^2-3(4+h)+2
= 16+h^2-12+3h+2
=6+h^2+3h
then you put it into the quadratic formula
h^2+3h+6 and simplify even further to
(h+/- ?)(h+/- ?) Hope that helps.

Answer 2

g(4 + h) just means that plug in (4 + h) for x in the given equation.

so it would look like (4+h)(4+h) - 3(4+h)+2

which reduces to 16 + 8h + h^2 - 12 - 3h + 2 when you do FOIL and distribute

then combining like terms it further reduces to h^2 + 5h + 6