SOLUTION: find F^-1(x) f(x)=3sqrt x-t

Question 686871: find F^-1(x)
f(x)=3sqrt x-t
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
If the function is $f(x) = \sqrt[3]{x-t}$ , then

$f(x) = \sqrt[3]{x-t}$

$y = \sqrt[3]{x-t}$

$x = \sqrt[3]{y-t}$

$x^3 = y-t$

$x^3 + t = y$

$y = x^3 + t$

$f^{-1}(x) = x^3 + t$

OR

If the function is $f(x) = \sqrt[3]{x}-t$ , then

$f(x) = \sqrt[3]{x}-t$

$y = \sqrt[3]{x}-t$

$x = \sqrt[3]{y}-t$

$x+t = \sqrt[3]{y}$

$(x+t)^3 = y$

$y = (x + t)^3$

$f^{-1}(x) = (x + t)^3$
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