Question

f(x)=log(x+3) inverse?

Answer 1

replace f(x) with y

y = log(x+3)

switch x and y to get

x = log(y+3)

^ try solving this equation for y, that will give you the inverse function

Answer 2

how will i solve the equation for y ?

Answer 3

so you have log(y+3) on the right side, to "undo" a logarithm, raise both sides to the base of 10

so you get 10^x = y + 3, then you just need to subtract 3 from both sides to get y

Answer 4

7^x=y is what i got

Answer 5

10^x and 3 are not like terms so you cannot subtract them to get 7^x

10^x = y + 3

subtracting 3 from both sides gives us

y = 10^x - 3 as your inverse

Answer 6

using the original notation

\(f^{-1}(x)\)= 10^x - 3

Answer 7

yes i was about to say that ! thanks again.