Question

For the function f(x) = 8x7, find f-¹(x).

Answer 1

Answer:

Your answer is C. $y= \sqrt[7]{\frac{x}{8} }$

Step-by-step explanation:

$f(x)=8x^7\\y = 8x^7$

switch y and x to for inverse.

$x = 8y^2$

Now solve y by itself.

$x=8y^7\\\frac{x}{8}=y^7\\ \sqrt[7]{\frac{x}{8} } =y$

Answer 2

Answer:

f^-1(x)= $\sqrt[7]{x} /8$

Step-by-step explanation:

f(x)=8x^7

x^7=f(x)/8

x=$\sqrt[7]{x} /8$

f^-1(x)= $\sqrt[7]{x} /8$