Question

Find the inverse and state if the inverse is a function.

Answer 1

\[\large f(x) = \sqrt[3]{x} − 3 \]

Answer 2

solve
\[\large x=\sqrt[3]{y}-3\] for \(y\)

Answer 3

takes only two steps
1) add 3
2) cube

Answer 4

\[x^{3}+27 = y?\]

Answer 5

oh no

Answer 6

\[(x+3)^3\neq x^3+27\]

Answer 7

\[x=\sqrt[3]{y}-3\\
x+3=\sqrt[3]{y}\\
(x+3)^3=y\] so
\[f^{-1}(x)=(x+3)^3\]

Answer 8

Ohhhh okay

Answer 9

how you been, haven't seen you in a while?

Answer 10

I've been good. I had a baby back in August so I've been busy with her and my other baby. But I'm relearning stuff before I go back to school next year.

Answer 11

boy or girl?

Answer 12

oh , her, doh

Answer 13

good luck!

Answer 14

Hahaa thanks.
Yeah my first was a boy my second was a girl.
One more question. How do I know if it's a function?

Answer 15

it is a function because , well because it is
\[g(x)=(x+3)^3\] is a function, put in a number, get out a number
you would know it was NOT a function if you had say a \(\pm\) in it
like if you solve
\[x=y^2\] for \(y\) you would have to say
\[y=\pm\sqrt{x}\] and that is NOT a function

Answer 16

Oh yeah! Sorry it's been a while in this class.