What is the intercept of the function f(x) = x^3

x-intercept(s):  ( 0 , 0 )

y-intercept(s):  ( 0 , 0 )

Explanation:

To find the x-intercept, substitute in  0  for  y  and solve for  x .

To find the y-intercept, substitute in  0  for  x  and solve for  y .

x =±sqrt(1/3)

step-by-step explanation:

x+4/6x=1/x

multiply each side by 6x to get rid of the fractions

6x*(x+4/6x)=1/x*6x

distribute

6x^2 +4 = 6

subtract 4 from each side

6x^2 +4-4 = 6-4

6x^2 =2

divide by 6

6x^2/6 = 2/6

x^2 = 1/3

take the square root of each side

sqrt(x^2) = ±sqrt(1/3)

x =±sqrt(1/3)