Respuesta :
F(x) is another way of saying y
Y=2x-4
For the inverse you trade the x and y
X=2y-4
Then get y by itself
Add 4 to both sides
X+4=2y
Divide both sides by 2
X+4/2Z
Y=2x-4
For the inverse you trade the x and y
X=2y-4
Then get y by itself
Add 4 to both sides
X+4=2y
Divide both sides by 2
X+4/2Z
Answer:
f-1(x)=(x+4)/2
Step-by-step explanation:
y = 2x – 4
Interchange the variables:
X = 2y – 4
solve for y
2y – 4 = 2
add 4
2y – 4 + 4 = x + 4
2y = x + 4
divide each term by 2 and simplify
2y/2 2 4/2 + 4/2
Y 2 4/2 + ½
solve for y and replace it with f^-1(x)
F-1(x) 2 x/2 + ½