Question

Given f(x) show below, complete the equation for the inverse of F(x). If necessary, use the slash (/) for the division symbol.
F(x)=8x
f^-1(y)=____

Answer 1

you have y = 8x
solve for x
x=y/8
so the inverse is
f^(-1)(y) = y/8

Answer 2

so x/8?

Answer 3

they didn't switch the variables (and that is fine)

Answer 4

so y/8, is the notation they are using.

Answer 5

okay so its y/8 nit x/8 right

Answer 6

some people like to switch the variables and solve for y, but its really not proper...

Answer 7

correct

Answer 8

they told us our function is a function of y
"f^-1(y)=____"

Answer 9

ok got thanks im going to open another post and im going to try and do it can u check my work please

Answer 10

It is typical to switch x & y, then solve for y, so both the original function and the inverse are of the form y= a function of x. But yeah, looks like here your teacher wants you to simply solve the original function, where you have y as a function of x, for x, so you get x and a function of y.

A little bit odd, but it works. As long as you don't want to graph the function and the inverse together, lol.

Answer 11

its actually odd to switch the variables, because then you are switching the domains.
and if the function went from x to y, then the inverse should go from y to x

Answer 12

but its common to switch them to make students understand the process
but if
f(x):A to B
then
f^(-1)(x) goes from B to A (but with this notation it is assumed that x is in A for the function, and x is in B for the inverse)