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3 years ago

Find the inverse of the function y=2^3-5x

Mathematics

1 answer:

Korvikt [17]3 years ago

6 0

Answer:

Step-by-step explanation:

To find the inverse, switch x and y, then solve for y

y=2^3-5x

x=2^3-5y

x-2^3=-5y

-(x/5)+((2/3)/5)=y

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We have to identify the function which has the same set of potential rational roots as the function $g(x)= 3x^5-2x^4+9x^3-x^2+12$ .

Firstly, we will find the rational roots of the given function.

Let 'p' be the factors of 12

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Here also, Let 'p' be the factors of 12

So, p= $\pm 1, \pm 2, \pm 3, \pm 4, \pm 6$

Let 'q' be the factors of 3

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$\pm 1, \pm 2, \pm 3, \pm 4, \pm 6, \pm \frac{1}{3}, \pm \frac{2}{3}, \pm \frac{4}{3}$ .

Therefore, this equation has same rational roots of the given function.

Option A is the correct answer.

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Step-by-step explanation:

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