Question

What is the inverse of f(x)=70x^3/4 ?

Answer 1

The inverse of the function
`f(x) = 70x^{(3/4)` is
`f^((-1))(x) = (x/70)^{(4/3)`.

Step-by-step explanation:

The inverse of the function
`f(x) = 70x^((3/4))` can be found by interchanging the roles of x and y and solving for y. The goal is to isolate y on one side of the equation.

Step 1: Replace f(x) with y:
`y = 70x^((3/4))`

Step 2: Swap x and y:
`x = 70y^((3/4))`

Step 3: Solve for y: Divide both sides of the equation by 70 and raise both sides to the power of 4/3 to undo the exponent:
`y = (x/70)^((4/3))`

Therefore, the inverse of
`f(x) = 70x^((3/4))` is
`f^((-1))(x) = (x/70)^((4/3))`.

Answer 2

y/70=x^3/4
x=(y/70)^(4/3)