What is the inverse of the function f(x)=\sqrt[3]{7x-21}-3f(x)= 3 7x−21 −3f, (, x, ), equals, root, start index, 3, end index, square root of, 7, x, minus, 21, end square root, minus, 3 ?

given the equation is written in text so the signs and operators are weird, i don't understand the question but an inverse of any function can be found by switching f(x) or y with x.

For example if f(x) = 3x, then the inverse is x = 3y or y=x/3

example 2 – simplify: step 1: completely factor both the numerators and denominators of all fractions. step 2: change the division sign to a multiplication sign and flip (or reciprocate) the fraction after the division sign; essential you need to multiply by the reciprocal. step 3 : cancel or reduce the fractions.

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)