Question

Find the x-coordinates of the points of intersection for the following functions:

Answer 1

f(x) = (-x^2+5)

g(x) = (3x-11)

Answer 2

You have to set f(x) and g(x) equal to each other, right?

Answer 3

yes - then solve the resulting equation to find the value(s) of x.

Answer 4

(-x^2+5)=(3x-11)

How do I get both x's together?

Answer 5

if you move all the terms to the right-hand-side of the equals sign, then you will end up with a quadratic equation.
you need to solve that to find the values of x where these two functions intersect.

Answer 6

So if I move all terms to the right, I end up with (x^2+3x-5)=0. I can't factor this normally, I don't think. Where do I go from here?

Answer 7

I meant I will have (X^2+3x-16)

Answer 8

yes - that is correct. you need to use the quadratic equation formula to solve this.
alternatively, you could use completing the square technique if you are familiar with that.

Answer 9

Great, thanks.

Answer 10

yw :)