Question

1. Let f(x) = 3x – 5. Find its inverse represented by the function notation f^ –1(x).

Answer 1

what would you do if you had to solve
\[3x-5=17\]?

Answer 2

first you would add 5 to both sides, which would give you 3x= 22 and then you would divide 3 on both sides?

Answer 3

yes
and that is what the inverse does
add 5, divide by 3
\[f^{-1}(x)=\frac{x+5}{3}\]

Answer 4

thats it?

Answer 5

yes that is it

Answer 6

oh cool, thanks! Could you help me with another question?

Answer 7

you could write
\[x=3y-5\] and sovle for \(y\) to get
\[x+5=3y\]
\[y=\frac{x+5}{3}\] but some times you can do it in your head

Answer 8

is it y or f^-1(x)?

Answer 9

\(f^{-1}\)

Answer 10

okay, thanks!!