Question

find the inverse f(x)=-1/3x-8

Answer 1

y=-3(x+8)

Answer 2

y = (-1/3)x - 8
interchange x and y
x = (-1/3)y - 8
solve for y
y = (x + 8)/(-1/3)
= -3x - 24

Inverse: y = -3x - 24

Check evaluate y at (-1/3)x - 8

y = (-3)( (-1/3) x - 8) - 24
= (x + 24) - 24
= x
since inverse f evaluate at f is x, this is the inverse