For some general function 𝑓(𝑥), explain the steps that you would use to determine the inverse f -1 (x)

Answer 1

f(x) = y

switch x and y

f(y) = x

then solve for the new y

that's the inverse of f(x)

for example:

f(x) = y = x+2

switch x and y

x =y+2

solve for y

y=x-2

f^-1(x) = x-2 is the inverse function for f(x) =x+2

graphically, if you a point (x,y) is on the f(x) then (y,x) will be a point on f^-1(x)

the line y=x+2 reflected across the diagonal y=x will be the inverse y=x-2

(0,2) is on the first line and (2,0) is on the 2nd line, the inverse function.