Question

find the inverse alegrbraically:
f(x)=4(^x)+8

Answer 1

well how do you find the inverse?

switch the x's and y's

so

y = 4^x + 8
becomes
x = 4^y + 8

solve for y again

Answer 2

How do I solve for y?

Answer 3

subtract 8, then take the log base 4

Answer 4

x-8=log4?

Answer 5

you are solving for \(y\) right?

Answer 6

im trying to find the inverse so i guess so

Answer 7

you have
\[x = 4^y + 8\]
subtract 8 get
\[x-8=4^y\]

Answer 8

then take the log to solve for \(y\) and get
\[\log_4(x-8)=y\]

Answer 9

So that is the complete answer?

Answer 10

as they say on tv, the "final answer"

Answer 11

thank you

Answer 12

thanks for taking that one over @satellite I was pre-occupied :)