Question

Anybody can help me with this ?

Answer 1

I was just learning that in class. It doesn’t make sense

Answer 2

Answer:

Because f(x)=y, begin by changing f(x) to the y-value, getting y=2x-4. Because we are determining the inverse of the equation, this means that the x and y-value should be switched, getting x=2y-4. Now that we're trying to isolate y, move 4 to the other side to get x+4=2y. Divide by 2 on both sides to get y=$\frac{1}{2}$x+2. Now, we substitute y for f(x), but this time we put $f^{-1}$(x), because it's the inverse of f(x).

Here are the steps in order:

y=2x-4

x=2y-4

x+4=2y

x/2+4/2=2y/2

y=1/2x+2

f^-1(x)=1/2x+2