Inverse function of F(x)=3^x+1

Question

nincompoop · Answer

can you solve for x?

anonymous · Answer

To find the inverse:

Replace f(x) with y
Switch x's and y's, so put x where y is and x where y is.
Solve for y
Replace y with f^-1(x)

nincompoop · Answer

change f(x) into y then solve for x

anonymous · Answer

Nincompoop meant solve for Y

nincompoop · Answer

I mean SOLVE FOR X

anonymous · Answer

Whoops I read it wrong

nincompoop · Answer

after you solve for x, you swap x and y then rewrite "y" into f^-1

thatgirl3390 · Answer

thx guys

anonymous · Answer

F(x) can be considered to be the same thing as Y so if you switch it for y you have$$y = 3^x + 1 $$

nincompoop · Answer

people swap in the beginning, I swap at the end

anonymous · Answer

1) subtract 1
2) take the log (base 3)

nincompoop · Answer

for x as an exponent you're going to need to learn about logarithm

nincompoop · Answer

anonymous · Answer

math is fun? 
must be tripping

nincompoop · Answer

hahaha at least it is not purple math ... when it is the brain that turns purple after doing lots of math

thatgirl3390 · Answer

what about f^-1(10)

anonymous · Answer

translate as "solve for $x$"$$10 = 3^x + 1$$

anonymous · Answer

subtract $1$ and get 
$$9=3^x$$then the answer should be more or less obvious right?

thatgirl3390 · Answer

wow thx

anonymous · Answer

yw
did you get $x=2$ ?

anonymous · Answer

since 
$$f(2)=3^2+1=10$$ that means 
$$f^{-1}(10)=2$$