Question

if f(x)=(1/2)x-6. what is the equation for f^-1(x)?
...2x-6
...2x+6
...2(x-6)
...2(x-6)

Answer 1

this one is doable. put
\[y=\frac{1}{2}x-6\]switch x and y
\[x=\frac{1}{2}y-6\]
solve for y
\[x+6=\frac{1}{2}y\]
\[2(x+6)=y\]

Answer 2

must be a typo on your answers. you have
\[2(x-6)\] twice. perhaps one is \[2(x+6)\]?

Answer 3

yes one is +6

Answer 4

that is the one!

Answer 5

f(x)=2x+12

Answer 6

why do you think it's +12??? when it can be simplified more

Answer 7

yeah i'm just distributing it. you can have also y=2(x+6)

Answer 8

yeah i got it

Answer 9

thank you