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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.

Respuesta :

ghanami
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 

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