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Aleksandr-060686 [28]
3 years ago
13

Please help me find the inverse

Mathematics
1 answer:
sergij07 [2.7K]3 years ago
5 0

f^{-1}(x) is supposed to be a function such that

f^{-1}(f(x))=x

In this case, we need

f^{-1}(\sqrt[3]{x-2})=x

To recover x from \sqrt[3]{x-2}, we would first need to raise \sqrt[3]{x-2} to the third power:

(\sqrt[3]{x-2})^3=x-2

Then add 2:

(x-2)+2=x

To recap, we carried out

f^{-1}(\sqrt[3]{x-2})=(\sqrt[3]{x-2})^3+2=x

which implies that the inverse function is

f^{-1}(x)=x^3+2

To verify: we should also have that f(f^{-1}(x))=x. We get

f(x^3+2)=\sqrt[3]{(x^3+2)-2}=\sqrt[3]{x^3}=x

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A) y=1.1x+23<br> B) y=1.25x+20<br> C) y=1.25+40.67<br> D)y+1.4+40.67
Lunna [17]

Answer:

I believe C is the correct answer because the graph starts above 40 on y axis and D is incorrect because of the y + not y=

7 0
2 years ago
Solve the following system of equations by elimination. What is the value of x? x = 1.5 x = -1.5 x = 8 x = -8
Andru [333]

Using the elimination method, the value of x in the system of equations is calculated as: 8.

<h3>How to Solve a System of Equations by Elimination?</h3>

To solve a system of equations given using the elimination method, do the following:

Multiply 2x - 5y = 1 by 2 and multiply -3x + 2y = -18 by 5 to get the following:

4x - 10y = 2 --> eqn. 1

-15x + 10y = -90 --> eqn. 2

Add

-11x = -88

Divide both sides by -11

x = 8

Learn more about system of equations on:

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8 0
2 years ago
Do the math please. i need it nowwwwww
denis-greek [22]

Using algebraic expressions, the value of x in the diagram given is calculated as: x = 4

<h3>What is an Algebraic Equation?</h3>

An algebraic equation is an equation that has an unknown variable (i.e. x) and digits, which can be used to solve a problem.

Algebraic expression for Mat A is: 4x + 3

Algebraic expression for Mat B is: 2x + 11

We would have the following algebraic equation:

4x + 3 = 2x = 11

Solve for the value of x

4x - 2x = 11 - 3

2x = 8

x = 8/2

x = 4

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6 0
2 years ago
Please.help.my.sorry.self.answer.this.question
Zanzabum

Answer:

7.8

Step-by-step explanation:

1. you add all the numbers together

2. Divide by 5

3. Then divide answer by 10

4. You get your final answer

4 0
2 years ago
Find the Slope:
AveGali [126]

Answer:

4) slope= 0

5) slope =  -  \frac{1}{7}

Step-by-step explanation:

\boxed{ slope = \frac{y _{2} - y_1 }{x_2 - x_1} }

4) Slope

=  \frac{10 - 10}{ - 10 - 3}

=  \frac{0}{ - 13}

= 0

The slope is zero as the line is a horizontal line (since both points have the same y-coordinate of 10).

5) Slope

=  \frac{5 - 4}{2 - 9}

=  \frac{1}{ - 7}

=  -  \frac{1}{7}

Since you have taken (x₁, y₁) to be (9, 4), the value of x₁ should be 9 instead of 2.

6 0
2 years ago
Read 2 more answers
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