EBES
Given: f(x) = x2-3 and g(x) = x+1
The composite function of is
DONE

A composite function means that you are evaluating one function into another function.

So, fog(x) can be written as:

f(g(x))

and gof(x) = g(f(x))

this means that instead of the variable "x", we are evaluating the functions with other function.

Let's solve this:

f(x) = x^2 - 3

g(x) = x + 1

then:

> gof(x) =g(f(x)) = f(x) +  1 = (x^2 - 3) + 1 = x^2 - 2

> fog(x) =f(g(x)) = g(x)^2 - 3 = (x + 1)^2 - 3 = x^2 + 2x + 1 - 3 = x^2 + 2x - 2

we have the parent function given by,

1. the function is translated 5 units to the left.

so, we get,   becomes

2. the function is translated 5 units to the right.

so, we get,   becomes

3. the function is translated 5 units upwards.

so, we get,   becomes

4. the function is translated 5 units downwards.

so, we get,   becomes

5. the function is reflected across x-axis.

so, we get,   becomes

6. the function is reflected across y-axis.

so, we get,   becomes .

step-by-step explanation:

mark brainliest.