Question

a. find an equation for f^-1(x), the inverse function
b. Verify that your equation is correct by showing that f(f^-1(x))=x and f^-1(f(x))=x

f(x)=3x-1
f(x)=2/x
f(x)=2x-3/x+1

Answer 1

first one says
multiply by 3,
subtract 1.

inverse will say
add one
divide by 3
\[f^{-1}(x)=\frac{x+1}{3}\]

Answer 2

thank u soo muchh

Answer 3

second one solve
\[x=\frac{2}{y}\] for y get
\[\frac{1}{x}=\frac{y}{2}\] or
\[y=\frac{2}{x}\] or
\[f^{-1}=\frac{2}{x}\] in other words it is its own inverse

Answer 4

third one is the hardest, solving
\[x=\frac{2y-3}{y+1}\] for
that is what you need to do though