Question

if f(x) is an invertible function, defined as f(x) =3x-4/5, write f inverse of (x)

Answer 1

let y=f(x)
y=3x-4/5
x=5y+4/3
so inverse of f is (5y+4)/3

Answer 2

inverse of f(x) = (5x + 4)/3

A defined function y = f(x) ; X → Y is given then, x = g(y) ; Y → X is known as inverse of function f(x).

A function is invertible only when it is bijective function ( i.e., one - one and onto ).

here we have to find inverse of f(x) = (3x - 4)/5

⇒y = f(x) = (3x - 4)/5

⇒5y = 3x - 4

⇒5y + 4 = 3x

⇒x = (5y + 4)/3

⇒g(y) = (5y + 4)/3

⇒g(x) = (5x + 4)/3 , it is inverse of f(x)

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