The area of a rectangle is x²+2x-24. If the width of the rectangle is x-4, what is its length?

x+6

Step-by-step explanation:

The formula for area is:

First, let's factor the area. We need to find two numbers that have a product of -24 and a sum of 2.

-4*6=-24

-4+6=2

We can substitute 2x with -4x and 6x:

Factor each half separately:

Since x and 6 both are being multiplied by x-4, we can combine them to get:

Now, we can substitute this back into the original area equation to solve for the length:

Divide both sides by x-4

for this pair of functions g(x)=x-2 and f(x)=|x| is (g o f)(a)= |a| -2

step-by-step explanation:

g(x)=x-2

f(x)=|x|

(g o f)(a)=?

(g o f)(x)=g(f(x))

(g o f)(x)=g(|x|)

(g o f)(x)=|x|-2

(g o f)(a)=|a|-2