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

Answer:
f^-1(x)= [tex]\sqrt[7]{x} /8[/tex]
Step-by-step explanation:
f(x)=8x^7
x^7=f(x)/8
x=[tex]\sqrt[7]{x} /8[/tex]
f^-1(x)= [tex]\sqrt[7]{x} /8[/tex]
Answer:
Your answer is C. [tex]y= \sqrt[7]{\frac{x}{8} }[/tex]
Step-by-step explanation:
[tex]f(x)=8x^7\\y = 8x^7[/tex]
switch y and x to for inverse.
[tex]x = 8y^2[/tex]
Now solve y by itself.
[tex]x=8y^7\\\frac{x}{8}=y^7\\ \sqrt[7]{\frac{x}{8} } =y[/tex]