Question

Find the inverse of the function.
f(x)=8x+2

A)f-1(x)=log8(x+2)
B)f-1(x)=log8(x+8)
C)f-1(x)=log8(x-8)
D)f-1(x)=log8(x-2)

Answer 1

\[
f(x) = 8^x + 2\\
y = 8^x + 2\\
x = 8^y + 2\\
x - 2 = 8^y
\text{Take log to the base 8 on both sides:}\\
\log_8(x-2) = y \\
f^{-1}(x) = \log_8(x-2)
\]

Answer 2

thank you

Answer 3

yw.