All categories

3 years ago

If f(x) = x2 + 7x and g(x) = 3x - 1, what is f(g(x))?

Mathematics

1 answer:

Burka [1]3 years ago

6 0

Answer:

f(g(x)) = 9x^2 + 15x - 6

Step-by-step explanation:

We are using function g(x) = 3x - 1 as the input to function f(x) = x^2 + 7x.

Starting with f(x) = x^2 + 7x, substitute g(x) for x on the left side and likewise substitute x^2 + 7x for each x on the right side. We obtain:

f(g(x)) = (3x - 1)^2 + 7(3x - 1).

If we multiply this out, we get:

f(g(x)) = 9x^2 - 6x + 1 + 21x - 7, or

f(g(x)) = 9x^2 + 15x - 6

You might be interested in

Which graph represents the function?<br> f(x)=x(x+2)

Mama L [17]

Answer:

The bottom graph on the right, check the image below:

Explanation:

Substitute the x value with 1,

f(1)=1(1+2)=3

f(2)=2(2+2)=8

f(-1)=-1(-1+2)=-1

f(-2)=-2(-2+2)=0

3 0

2 years ago

What is the slope of the following line?

serg [7]

U use y=mx+b to find the slope, and the answer would be m=-3

8 0

2 years ago

Are the terms 5x²andy 5y² like terms?

Strike441 [17]

They aren’t like terms bc if the exponent

8 0

3 years ago

Please help ASAP! The terminal side of an angle θ in standard position passes through the point (2,-5). calculate the values of

Troyanec [42]

Answer:

$sin(x)=\frac{opp}{hyp}=\frac{5}{\sqrt{21}}=\frac{5\sqrt{21}}{21}\\cos(x)=\frac{adj}{hyp}=\frac{2}{\sqrt{21}}=\frac{2\sqrt{21}}{21}\\tan(x)=\frac{opp}{adj}=\frac{5}{2}\\csc(x)=\frac{hyp}{opp}=\frac{\sqrt{21}}{5}\\sec(x)=\frac{hyp}{adj}=\frac{\sqrt{21}}{2}\\cot(x)=\frac{adj}{opp}=\frac{2}{5}$

Step-by-step explanation:

Start by drawing out the triangle on the graph:

(See picture)

(By the drawing you can judge me that I am a really bad artist)

Theta and the side lengths are labeled, the hypotenuse has a length of √21 by Pythagora's theorem. Now, time to put everything to the trigonometric functions:

(Suppose that x is theta as I can't type it)

By some basic understanding that's all that I can do.

3 0

2 years ago

At a music recital, there are 30 chairs.

dangina [55]

There will be 5 columns, since 5 rows of six chairs would be 30 chairs overall
If you like my answer, please mark it brainliest
Thanks!

3 0

3 years ago

Read 2 more answers