Home
Class 12
MATHS
Let f: R-{-4/3}->Rbe a function as f(x)...

Let `f: R-{-4/3}->R`be a function as `f(x)=(4x)/(3x+4)`. The inverse of f is map, `g:" Range "f->R-{-4/3}`given by.
(a) `g(y)=(3y)/(3-4y)`
(b) `g(y)=(4y)/(4-3y)`
(c) `g(y)=(4y)/(3-4y)`
(d) `g(y)=(3y)/(4-3y)`

Text Solution

AI Generated Solution

To find the inverse of the function \( f(x) = \frac{4x}{3x + 4} \), we will follow these steps: ### Step 1: Set the function equal to \( y \) We start by letting \( y = f(x) \): \[ y = \frac{4x}{3x + 4} \] ...
Promotional Banner

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

(3x+4y)(3x-4y)

If g (y) is inverse of function f :R to R given by f (x)=x+3, then g (y)=

(x-4)(x-3)=(x-6)(x-5) (y-9)(y-3)= (y-4)(y-3)

(x+y)/(2)-(x-y)/(3)=8,(x+y)/(3)+(x-y)/(4)=4

(3(y-5))/4-4y=3-(y-3)/2

Let f"":""N rarr Y be a function defined as f""(x)""=""4x""+""3 , where Y""=""{y in N"":""y""=""4x""+""3 for some x in N} . Show that f is invertible and its inverse is (1) g(y)=(3y+4)/3 (2) g(y)=4+(y+3)/4 (3) g(y)=(y+3)/4 (4) g(y)=(y-3)/4