Answered

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Given the function h of x equals 3 times the cube root of x minus 5 end root plus 6, what is the x-intercept of the function?

6
5
–3
–5

Sagot :

MrRoyal

The x-intercept of the function [tex]h(x) = 3 * \sqrt[3]{x - 5} +6[/tex] is -3

How to determine the x-intercept?

The function is given as:

[tex]h(x) = 3 * \sqrt[3]{x - 5} +6[/tex]

The x-intercept is when h(x) =0.

So, we have:

[tex]3 * \sqrt[3]{x - 5} +6 = 0[/tex]

Subtract 6 from both sides

[tex]3 * \sqrt[3]{x - 5} = -6[/tex]

Divide both sides by 3

[tex]\sqrt[3]{x - 5} = -2[/tex]

Take the cube of both sides

x - 5 = -8

Add 5 to both sides

x = -3

Hence, the x-intercept of the function is -3

Read more about x-intercept at:

https://brainly.com/question/3951754

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