Question

Find the inverse of each function. Is the inverse a function? To start, switch x and y. y= x/2

Answer 1

Yeah if inverse exist for a function then it's also a function.
For example
here we have y= x/2
to find inverse of this
replace
x---->y
y---->x
so we have
\[x=y/2\]
now this can be written as
\[y/2=x\]
or
\[y=2x\]
so y=2x is the inverse function of y=x/2
to check if it's correct
Let's put x=2 in y=x/2
we get y=2/2=1
now use this as x in the inverse function
y=2x
x=1
\[y=2\times 1\]
y=2
so we began with 2 and got back 2
so y=2x is inverse of y=x/2

Answer 2

y=x/2
switch x and y so we get
x=y/2
now solve for y
y=2x (It is the required function.)

Good Luck

Answer 3

x=2y