Given: f(x)=x²-3 and g(x)=x+1. what is the composite function gof?

1. x²+2x-2

2. x²+2x-2

3. x²-2

For two given functions f(x) and g(x), the composite function

(g ° f)(x) is: g(f(x))

Here we will find that the correct option is the last one:

(g°f)(x) = x²-2

To get this, we know that:

g(x) = x + 1

f(x) = x² - 3

Then:

(g°f)(x) = g(f(x))

So here we just need to evaluate g(x) in f(x):

g(f(x)) = f(x) + 1 = ( x² - 3) + 1 = x² - 3 + 1 = x² - 2

Then the correct option is 3:

(g°f)(x) = x²-2

If you want to learn more, you can read:

link

idk

step-by-step explanation:

connie < felicia < stew

step-by-step explanation:

stew:

we need to find the slope

m = (y2-y1)/ (x2-x1)

    = (2650-795)/(10-3)

    = 1855/7

265 words per minute

connie:

we need to find the slope

m = (y2-y1)/ (x2-x1)

we have two points (0,0) and (4,800)

m = (800-0)/(4-0)

  m = 800/4

    200 words per minute

felicia:

260 words per minute

200< 260 < 265

connie < felicia < stew