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Given the function h of x equals 2 times the cube root of x minus 10 end root plus 4, what is the x-intercept of the function?

–10
–4
2
8

Respuesta :

reinhard10158

Step-by-step explanation:

if I understand correctly, then we have

h(x) = 2 × cubic root(x - 10) + 4

the x-intercept is the x value where y or h(x) = 0.

0 = 2 × cubic root(x - 10) + 4

0 = cubic root(x - 10) + 2

-2 = cubic root(x - 10)

-8 = x - 10

x = 2

abidemiokin

The intercept is the point where a line or curve crosses the axis. The x-intercept of the function is (2,0)

Intercept of a function

The intercept is the point where a line or curve crosses the axis. Given the function below:

h(x) = 2(∛x-10) + 4

For the x-intercept, it is the point where h(x) = 0.

Substitute

2(∛x-10) + 4 = 0

2(∛x-10)  = -4

(∛x-10)  = -2

Take the cube of both sides

x-10 = (-2)^3
x -10 = -8

x = -8 + 10

x = 2

Hence the x-intercept of the function is (2,0)

Learn more on intercept here: https://brainly.com/question/1884491

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