Let f(x) = 3x3 − 7x2 − 9x + 21 and g(x) = 3x − 7. find f of x over g of x.
3x2 − x
x2 − 3x
3x2 − 3
x2 − 3

x^2-3

Step-by-step explanation:

look at the picture

For this case we have the following functions:

We must find the value of the following expression:

So:

Looking at the attached image we have to:

Option D

See attached image

answer: 48

just remember to use pemdas:

parentheses

expressions

multiplication

division

addition

subtraction

region b will make the inequalities y < 2x + 1 and y > -x - 2 true ⇒ answer a

step-by-step explanation:

* lets study the graph and the inequality to solve the question

- the inequality y > -x - 2

∵ the form of the inequality is y > mx + c , m is the slope of the line

  and c is the y-intercept (the line intersect y-axis at point (0 , c)

∴ c = -2 that means the line intersect the y-axis at point (0 , -2)

∵ the sign of the inequality is >

∴ we shad the part over the line

  region a and b

- the inequality y < 2x + 1

∵ the form of the inequality is y > mx + c , m is the slope of the line

  and c is the y-intercept (the line intersect y-axis at point (0 , c)

∴ c = 1 that means the line intersect the y-axis at point (0 , 1)

∵ the sign of the inequality is <

∴ we shad the part under the line

  region b and c

∵ the common region between the two lines is region b

∴ region b will make the inequalities y < 2x + 1 and y > -x - 2 true