Given function is
.
Replace
with y.

Next Switch x for y and y for x.
\
.
Next solve for y :
\
(Multiply each side by 3)
(Apply distributive property:
)
(Cancel common terms)
(Multiply:
)
(Subtract 6 from each side)
(Apply additive inverse property:
)
(Apply additive identity property:
)
(Multiply each side by negative one)
(Apply distributive property:
)
(Product of two same signs is positive)
(Product of two different signs is negative)
The value of
.
Write in function notation,using
to represent the invrse of the function f.

"Y " value substitute in above function,
\
.
The invrse of the function
is
.