Question
Function
Find the inverse
Evaluate the derivative
Find the domain
Load more

f−1(a)=7735929a
Evaluate
w=a3×77
Use the commutative property to reorder the terms
w=77a3
Interchange a and y
a=77y3
Swap the sides of the equation
77y3=a
Divide both sides
7777y3=77a
Divide the numbers
y3=77a
Take the 3-th root on both sides of the equation
3y3=377a
Calculate
y=377a
Simplify the root
More Steps

Evaluate
377a
To take a root of a fraction,take the root of the numerator and denominator separately
3773a
Multiply by the Conjugate
377×37723a×3772
Calculate
773a×3772
Calculate
More Steps

Evaluate
3a×3772
The product of roots with the same index is equal to the root of the product
3a×772
Calculate the product
3772a
773772a
Calculate
7735929a
y=7735929a
Solution
f−1(a)=7735929a
Show Solution

Solve the equation
Solve for a
Solve for w
a=7735929w
Evaluate
w=a3×77
Use the commutative property to reorder the terms
w=77a3
Swap the sides of the equation
77a3=w
Divide both sides
7777a3=77w
Divide the numbers
a3=77w
Take the 3-th root on both sides of the equation
3a3=377w
Calculate
a=377w
Solution
More Steps

Evaluate
377w
To take a root of a fraction,take the root of the numerator and denominator separately
3773w
Multiply by the Conjugate
377×37723w×3772
Calculate
773w×3772
Calculate
More Steps

Evaluate
3w×3772
The product of roots with the same index is equal to the root of the product
3w×772
Calculate the product
3772w
773772w
Calculate
7735929w
a=7735929w
Show Solution
