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3 years ago

If ƒ(x) = x + 2 and g(x) = 3x2 + 7x, find ....

Mathematics

1 answer:

Tamiku [17]3 years ago

7 0

Answer:

The correct answer is option C

(f o g)(x) = 3x² + 7x + 2

Step-by-step explanation:

Points to remember

Composite functions

Let f(x) and g(x) be the two functions then (f o g)(x) can be written as

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

To find the value of (f o g)(x)

Here f(x) =x + 2 and g(x) = 3x² + 7x

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

= f(3x² + 7x)

= 3x² + 7x + 2

Therefore the correct answer is option C

(f o g)(x) = 3x² + 7x + 2

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Nolan rides his bike 63 miles in 270 minutes. What is his average speed in miles per hour?

boyakko [2]

Here, to find the average rate of change, you would simply divide 270 by 63. And when that is done, you would get a long decimal. 4.285714285714286

And since you obviously can't put in such a long decimal as your answer, you would round it instead. Once rounded, you would end up with 4.29 (because the number after 8 is five, which rounds up, which would turn the 8 to 9.)

8 0

3 years ago

What are the steps to simplify 1-2/x-2=x+1/x+2? Plz help ASAP!!!

vichka [17]

Answer:

$-x^3+x^2+x-6=0$

Step-by-step explanation:

Algebra

The equation is shown without proper format, we'll assume the correct equation is like

$\displaystyle 1-\frac{2}{x-2}=x+\frac{1}{x+2}$

Multiplying all the equation by (x-2)(x+2)

$(x-2)(x+2)-2(x+2)=x(x-2)(x+2)+(x-2)$

Operating

$x^2-4-2x-4=x^3-4x+x-2$

Rearranging and simplifying

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8 0

4 years ago

How many sides does a regular polygon have if its interior angles A. 156 B. 162

Kruka [31]

I) 156 degrees
The exterior angle is 180-156
=24
The number of sides= $\frac{360}{24}$
The number of sides= 15 sides

ii) 162 degrees
The exterior angle= 180-162
=18
The number of sides= $\frac{360}{18}$
= 20 sides

4 0

4 years ago

Which best describes the meaning of the term theorem? A. A statement that is easily deduced from a proven theorem B. A conclusio

Nat2105 [25]

A theorem is a notion that has been continuously proven through logic and mathematics. These notions are accepted to be true based on the given arguments. Many mathematicians have developed many theorems in the past already. The answer to this problem is B. A conclusion proved by deductive reasoning

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4 years ago

The length of a rectangle is 15 centimeters and the width is 8 centimeters. Which is the perimeter of the rectangle?

slava [35]

Perimeter is all outside lengths added up. So 8+8=16. 15+15=30
16+30= 46.

3 0

3 years ago