Let f(x) = x^2 + 2x and g(x) = 2x. Evaluate the composition (fºg)(2).

B

Step-by-step explanation:

We have the two functions:

And we want to evaluate:

This is equivalent to:

Hence, we will evaluate g(2) first.

Therefore:

We can now substitute this for f(g(2)). Hence:

Evaluate:

Therefore:

Hence, our answer is B.

B. (f o g)(2) = 24

General Formulas and Concepts;

Pre-Algebra

Algebra I

Step-by-step explanation:

Step 1: Define

f(x) = x² + 2x

g(x) = 2x

Step 2: Find (f o g)(x)

Step 3: Find (f o g)(2)

And we have our final answer!

correct answer is option b.

step-by-step explanation:

the true statement about geometric figure is option b that is one line can be drawn through all three points.

if three points are on the same plane, they can be connected by a line.

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is