still lost on this math?

Question

my yahoo name is: chris_rock1717 if you can help me plz

find inverse of f(x) = (x+4)^3
i cant solve this i tried!!!

Answer 1

first make the equation like this:

y = (x+4)^3

switch x and y

x = (y+4)^3

solve for y

y = x^(1/3) - 4

the inverse of (x+4)^3 is x^(1/3) - 4

Answer 2

f(x)=(x+4)^3.
Since y=f(x), I'll write y=(x+4)^3
Now, without all that heavy math stuff, here's the
recipe for finding inverse functions:
1. Solve the equation for x
2. Interchange the x and y.

For y=(x+4)^3, take the cube root of both sides.
y^1/3=x+4
y^1/3-4=x Step 1 is completed
x^1/3-4=y Step 2 is completed, and that's
the inverse function.

The math notation for the function is f(x). The
notation for the inverse is f^-1(x).
We would therefore say
f(x)=(x+4)^3, f^-1(x)= x^1/3-4
Please note: f^-1(x) does NOT mean 1/f(x)
P.S. I assumed you knew y^1/3 means the cube root
of y.

Answer 3

The inverse of a function means that you switch the places of x and y, and then solve the new equation to get y, or in this case f(x), alone again.

So the inverse is x = (y+4)^3

First take the cube root of both sides.

cube root (x) = y + 4

Then subtract 4 from both sides.

So the inverse function is f^-1(x) = [cube root (x)] - 4

Answer 4

inverse of f(x) = (x + 4)³

Let y = (x + 4)³ and switch x & y

x = (y + 4)³ and solve for y

y + 4 = cube root (x)

y = [cube root (x)] - 4

inverse function

f^(-1)(x) = [cube root (x)] - 4

Answer 5

just interchange the positions of x and f(x) and then make f(x) the subject.

thus inverse is f(x)= cubic root of x -4.

Answer 6

f(x) = (x+4)^3
y=(x+4)^3
find the inverse
x=(y+4)^3
solve for y
y=x^(1/3) -4

Answer 7

y = (x+4)^3
curoot(y) = x+4
x = curoot(y)-4

Answer 8

Just take it one step at a time.

f(x)= (x+4) ^3

f'(x)= cube root of (something)

f'(f(x)) = x +4

so

f'(x) = cube root of (x-4)