Question

Given the function f(x) = The quantity of 2x minus 5, divided by 3, which of the below expressions is correct?

f−1(x) = The quantity of 5 minus 2x, divided by 3.
f−1(x) = The quantity of 3x minus 5, divided by 2.
f−1(x) = The quantity of 3x plus 5, divided by 2.
f−1(x) = The quantity of negative 2x minus 5, divided by 3.

Answer 1

hello :
f(x) = (2x-5)/3
f−1(x) = (3x+5)/2
because : f(x) 0 f−1(x) = x and f−1(x) 0 f(x) = x
f(x) 0 f−1(x) = f( f−1(x) ) = f ((3x+5)/2) = (2(3x+5)/2 - 5))/3 = 3x /3 =x
same cacul for : f−1(x) 0 f(x) = x