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Furkat [3]
2 years ago
14

For the function f(x)=5x^3-6, find f^-1

Mathematics
1 answer:
max2010maxim [7]2 years ago
5 0

Answer:

f^{-1} means the inverse function

f^{-1} = \sqrt[3]{(x + 6)/5}

Step-by-step explanation:

f^{-1} means the inverse function

to find an inverse function, flip the x and y variables and solve for y

f(x) = 5x^3 - 6

y = 5x^3 - 6

x = 5y^3 - 6

x + 6 = 5y^3

(x + 6)/5 = y^3

\sqrt[3]{(x + 6)/5} = y

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7 0
3 years ago
2(w – 3y + 4) + w – 5
melisa1 [442]

Answer: It should be 3w - 6y + 3

Step-by-step explanation:

-Solve:

2(w-3y+4)+w-5

-Use Distributive Property:

2(w-3y+4)+w-5

2w-6y+8+w-5

-Then, combine like terms:

2w-6y+8+w-5

3w-6y+3

Result:

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3 years ago
What is the geometric mean of 4 and 36
Nadya [2.5K]
The geometric mean is 12
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3 years ago
Which of the following reveals the minimum value for the equation 2x^2 − 4x − 2 = 0?
12345 [234]

Answer:

2(x-1)^{2}=4

Step-by-step explanation:

<u><em>The options of the question are</em></u>

2(x − 1)2 = 4

2(x − 1)2 = −4

2(x − 2)2 = 4

2(x − 2)2 = −4

we have

2x^{2} -4x-2=0

This is a vertical parabola open upward

The vertex represent the minimum value

The quadratic equation in vertex form is

y=a(x-h)^2+k

where

a is a coefficient

(h,k) is the vertex

so

Convert the quadratic equation in vertex form

Factor 2 leading coefficient

2(x^{2} -2x)-2=0

Complete the squares

2(x^{2} -2x+1)-2-2=0

2(x^{2} -2x+1)-4=0

Rewrite as perfect squares

2(x-1)^{2}-4=0

The vertex is the point (1,-4)

Move the constant to the right side

2(x-1)^{2}=4

3 0
2 years ago
What two numbers multiply together to equal -15 and add together to equal -14?
4vir4ik [10]

Answer:

-15 and 1

Step-by-step explanation:

-15x1=-15

-15+1= -14

3 0
2 years ago
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