Question

HELP PLEASE(:
Given F(x) shown below, complete the equation for the inverse of F(x).


f(x)=x/2+3

f^-1(y)=____

Answer 1

The inverse...means that you switch the places of 'x' and 'y' and you solve for 'y' again

Remember f(x) can also be written as 'y'

so you have

\[y = \frac{ x }{ 2 } + 3\]

Switch the variables

\[x = \frac{ y }{ 2 } + 3\]

Now we solve for 'y'...can you do that?

Answer 2

in that case, would it be 2(x-3)?

Answer 3

Indeed it would!

Answer 4

thank you!

Answer 5

No problem!