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3 years ago

Please help! Will give brainly, 50 points!! I'm stuck with this question!!

Mathematics

2 answers:

Marizza181 [45]3 years ago

7 0

To solve this problem, you must plugin the value g(x) into f(x). This gives you (x-3)^2. When you solve that, it gives you x^2 - 6x + 9.

Zolol [24]3 years ago

4 0

Answer:

f(g(x)) = (x-3)²

Step-by-step explanation:

A composition function is one function that depends on another function. To find the value of this composite function we need to substitute one function into the second one.

In other words, you have to apply the function to the first variable and then apply the second function to the result you obtained after the first step.

In this problem you have f(x) = x² and g(x) = x - 3 and you need to find the composite function f(g(x))

First we need to apply the function g (x) = x - 3

Once we've done this, we're going to "plug" this result into the function f(x)

f(g(x)) = f (x-3)

But we know that the function f(x) elevates the variable to its square, therefore f (x-3) = (x-3)²

Therefore f(g(x)) = (x-3)²

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In 4 or more complete sentences, describe the process of protein synthesis and explain how transcription and translation creates protein.

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4 years ago

When 15 is subtracted from 3 times a number the result is -32. what is the number?

Vilka [71]

Answer:

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Step-by-step explanation:

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3 years ago

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What is the result of a dilation of scale factor 3 centered at the origin of the line 2y + 3x=10?? PLEASE HELP PLEASEEEEEEEEE

maks197457 [2]

Given:

The equation of a line is:

$2y+3x=10$

The line is dilated by factor 3.

To find:

The result of dilation.

Solution:

The equation of a line is:

$2y+3x=10$

For $x=0$ ,

$2y+3(0)=10$

$2y+0=10$

$y=\dfrac{10}{2}$

$y=5$

For $x=2$ ,

$2y+3(2)=10$

$2y+6=10$

$2y=10-6$

$2y=4$

Divide both sides by 2.

$y=\dfrac{4}{2}$

$y=2$

The given line passes through the two points A(0,5) and B(2,2).

If the line dilated by factor 3 with origin as center of dilation, then

$(x,y)\to (3x,3y)$

Using this rule, we get

$A(0,5)\to A'(3(0),3(5))$

$A(0,5)\to A'(0,15)$

Similarly,

$B(2,2)\to B'(3(2),3(2))$

$B(2,2)\to B'(6,6)$

The dilated line passes through the points A'(0,15) and B'(6,6). So, the equation of dilated line is:

$y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)$

$y-15=\dfrac{6-15}{6-0}(x-0)$

$y-15=\dfrac{-9}{6}(x)$

$y-15=\dfrac{-3}{2}x$

Multiply both sides by 2.

$2(y-15)=-3x$

$2y-30=-3x$

$2y+3x=30$

Therefore, the equation of the line after the dilation is $2y+3x=30$ .

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3 years ago

How to calucate surface area

bearhunter [10]

Answer:

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r = radius

h = height

Step-by-step explanation:

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4 years ago

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A college student takes the same number of credits each semester. They had 5 credits when they started, and after 2 semesters, t

gogolik [260]

The rate at which the college student earns credit is 13 credits per semester.

<h3>What is an equation?</h3>

An equation is the statement that illustrates the variables given. In this case, two or more components are taken into consideration to describe the scenario.

Let the credit earned each semester be x.

This will be illustrated as:

5 + 2x = 31

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