Question

If f(x) = log3 (x + 1), what is f−1(2)?

1

8

10

27

Answer 1

\(\bf f(x) ={\color{red}{ y}}= log_3 ({\color{blue}{ x}} + 1)\qquad inverse\implies {\color{blue}{ x}}= log_3 ({\color{red}{ y}} + 1)\)

notice to get the inverse "relation", we simply swap about the variables,
then solve for "y"

Answer 2

i get that but i don't get the question

Answer 3

\(\bf f^{-1}\Longleftarrow inverse \ of \ f(x)\)

Answer 4

so do i plug that into the problem

Answer 5

well, once you've solve for "y", you'd plug "6" for the inverse as argument

Answer 6

okay thanks

Answer 7

yw