Question

how do i find the inverse function of f(x) = ln ( x+3) - 4 ?

Answer 1

f(x) = ln ( x+3) - 4


y = ln ( x+3) - 4


x = ln ( y+3) - 4


Now solve for y

Answer 2

how can i solve ln(y+3)?

Answer 3

first add 4 to both sides

Answer 4

ok,,

Answer 5

how do you undo the natural log function?

Answer 6

im not sure

Answer 7

how do you undo any log function

Answer 8

well if 5e''x = 11 is = e''x = 11/5?

Answer 9

use e^x instead of e"x

Answer 10

so ln(y+3) is y/lm/3?

Answer 11

to solve for y in x = ln(y), you raise both sides as exponents with bases of 'e' to get

e^x = e^(ln(y))

but that just turns into

e^x = y

y = e^x

Answer 12

so here's the complete step by step picture of what's going on

\[\Large f(x) = \ln(x+3) - 4\]


\[\Large y = \ln(x+3) - 4\]


\[\Large x = \ln(y+3) - 4\]


\[\Large x+4 = \ln(y+3)\]


\[\Large e^{x+4} = y+3\]


\[\Large e^{x+4}-3 = y\]


\[\Large y = e^{x+4}-3\]


\[\Large f^{-1}(x) = e^{x+4}-3\]