If f(x) = 6 - 5x, what is f(x)^-1? (check attachment)

Question

asked Nov 28, 2021 146k views

1 Answer

Kristof Neirynck · Answer 1 · 2021-12-02T13:31:14+0000

f(x) = 6-5x

y = 6-5x .... replace f(x) with y

x = 6-5y .... swap x and y; solve for y

x+5y = 6

5y = 6-x

y = (6-x)/5

f^(-1)(x) = (6-x)/(5) ... replace y with the inverse function notation