f(x) = 5x+3/4x-5 , show that f(f(x)) is an identity function . hence find f inverse of x Share with your friends Share 9 Vijay Kumar Gupta answered this Consider the following function. fx=5x+34x-5It is required to show that ffx is an identity function.To find ffx replace x with5x+34x-5 in fx ffx=55x+34x-5+345x+34x-5-5 =55x+3+34x-545x+3-54x-5 take LCM in numerator and denominator =25x+15+12x-1520x+12-20x+25 =37x37 =x =Ix , where I is an identity functionThus it is proved that ffx is an identity functionNow we know that if f∘g=g∘f=IThen g is inverse of fHere ffx=f°f x=I, so the inverse of the function f is "f" itself. 35 View Full Answer
