Find the inverse of the function: F(x)=-5x+3

Answer 1

y = -5x +3

switch the x and y's and solve for y

x=-5y + 3

5y = -x +3^

y = (-1/5)x + 3/5

f^-1(x) = (-1/5)x + 3/5 is the inverse function

It reverses what f(x) does to x

for example let x=1

then f(x) = f(1)=-5(1) +3 = -5+3 = -2

and f^-1(x) = f^(-2) = (-1/5)(-2) + 3/5 = 2/5 + 3/5 = 5/5 = 1

you started with 1 and got y= -2

then you go from -2 back to 1, using the inverse function