The first thing you should do in this case is to compose both functions:
f (x) = x + 7
g (x) = 1 / (x-13)
Making the composition
f (g (x)) = (1 / (x-13)) + 7
f (g (x)) = (7 (x-13) +1) / (x-13)
Answer:
The domain of the function is:
x other than 13
(option 4)
This question is solved applying the formula of the area of the rectangle, and finding it's width. To do this, we solve a quadratic equation, and we get that the cardboard has a width of 1.5 feet.
Area of a rectangle:
The area of rectangle of length l and width w is given by:

w(2w + 3) = 9
From this, we get that:

Solving a quadratic equation:
Given a second order polynomial expressed by the following equation:
.
This polynomial has roots
such that
, given by the following formulas:
In this question:


Thus a quadratic equation with 
Then


Width is a positive measure, thus, the width of the cardboard is of 1.5 feet.
Another similar problem can be found at brainly.com/question/16995958
Answer:
F
Step-by-step explanation:
4x^2 - 4x - 35 = 0
factor
(2x + 5)(2x - 7) = 0
x = -5/2, x = 7/2
that's F
Black Wall Street, former byname of the Greenwood neighbourhood in Tulsa, Oklahoma, where in the early 20th century African Americans had created a self-sufficient prosperous business district. ... Black businesses clustered on the strip of land that would become Greenwood in 1905, when African Americans acquired the land.
The length of the side of the original square is 7cm