Question

inverse of y=2x^4, y=4-x^2

Answer 1

not 1 to 1
=>
no inverse

Answer 2

so what are the restricted domains

Answer 3

yes perhaps if you were given some restricted domain we could say we have an inverse

Answer 4

so what is the restricted domain of the original problem

Answer 5

i don't what does it say?

Answer 6

and also if you did have a restriction on the domain such that the function is 1 to 1
then the inverse you have above is incorrect

Answer 7

there is \[2x^{4} and 4-2x^{2} \]

Answer 8

2x^4 and 4-2x^2 are not inverses for each other over any restricted domain

Answer 9

y=2x^4 is not 1 to 1
does not have inverse

Answer 10

she/he never provided us with domain restriction

Answer 11

how do your restrict the domain of \[27x^{3}\]

Answer 12

does it ask you to choose a restriction such that function is 1 to 1?

Answer 13

27x^3 is 1 to 1

Answer 14

\[y=27x^3 => \frac{y}{27}=x^3 => \sqrt[3]{\frac{y}{27}}=x=> f^{-1}(x)=\sqrt[3]{\frac{x}{27}}\]