Question

Find a formula for the inverse of the following function, if possible.

W(x)=4x^1/5+3

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W^-1(x) = ___________________ does not have an inverse function

Answer 1

@tranquility

Answer 2

To clarify, is the function:

\( W(x) = \dfrac{4x^1}{5} + 3\)

Answer 3

no

Answer 4

\[W(x) = 4^{\frac{ 1 }{ 5}} + 3\]

Answer 5

Oh

\(\large W(x) = 4x^{\frac{1}{5}} + 3\)

Answer 6

yes

Answer 7

there's not a function ?

Answer 8

When you're finding the inverse of a function, you have to switch the variables and solve for y.

W(x) is equivalent to 'y'

\(\large y = 4x ^{\frac{1}{5}} + 3\)

Switch the x to a y, and the y to an x. And then solve for y

Answer 9

i couldn't find a solution

Answer 10

After you subtract 3 and divide by 4, you would have to ^5 both sides

Answer 11

-243/1024

Answer 12

You lost the x somewhere in the process

\(\Large \frac{x-3}{4} = y^{\frac{1}{5}}\)

and then you do it to the power of 5 on both sides to get rid of the power of 1/5

Answer 13

1/5 = y^5

Answer 14

right ?

Answer 15

no?

When you take the power of 5 on both sides, you'll get

\(\Large (\frac{x-3}{4})^5= (y^{\frac{1}{5}})^5\)

and \( ( y^{\frac{1}{5}} )^5 = y\)