Question

find the inverse of the given function f(x)=3/24x-13

Answer 1

\[f(x)=\frac{3}{24x-13}\]?

Answer 2

no its f(x)=\[\frac{ 3 }{ 24 }x-13\]

Answer 3

isn't that the same as
\[f(x)=\frac{1}{8}x-13\]?

Answer 4

in any case, if you wanted to solve
\[\frac{1}{8}x-13=5\] you would
a) add 13 to get \(\frac{1}{8}x=5+13\) and then multiply by 8 to get \(x=8(5+13)\)

Answer 5

that is what the inverse does,
add 13, multiply by 8
i.e.
\[f^{-1}(x)=8(x+13)\]

Answer 6

okay thank you

Answer 7

yw