If f(x)=5x-12, find a value for x so that f^-1(x)=f(x+1).

Thank you so much

1 answer

y = 5x-12
inverse:
x = 5y-12
5y = 12-x
y = (12-x)/5

f^-1 (x) = (12-x)/5

f(x+1) = 5(x+1) - 12 = 5x - 7

5x-7 = (12-x)/5
25x - 35 = 12 - x
26x = 47
x = 47/26

check my arithmetic