If a rectangle is (x+2) wide and (x-7) in length, the area of the rectangle is?

x² - 5x - 14

Step-by-step explanation: Start with the formula for the area of a rectangle.

Area = length x width

To multiply these two binomials, let's use the F.O.I.L. method.

The product of the first terms is x².

The product of the outer terms is -7x.

The product of the inner terms is 2x.

The product of the last terms is -14.

So we have x² - 7x + 2x - 14 which simplifies to x² - 5x - 14.

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