Home
Class 12
MATHS
Let f: R-{-3/5}->R be a function defined...

Let `f: R-{-3/5}->R` be a function defined as `f(x)=(2x)/(5x+3)` . Write `f^(-1)` : Range of `f->R-{-3/5}` .

Text Solution

AI Generated Solution

To find the inverse of the function \( f(x) = \frac{2x}{5x + 3} \), we will follow these steps: ### Step 1: Set \( y = f(x) \) We start by letting \( y \) equal the function: \[ y = \frac{2x}{5x + 3} \] ...
Promotional Banner

Topper's Solved these Questions

  • DIRECTION COSINES AND DIRECTION RATIOS

    RD SHARMA|Exercise Solved Examples And Exercises|67 Videos

  • HIGHER ORDER DERIVATIVES

    RD SHARMA|Exercise Solved Examples And Exercises|176 Videos

Similar Questions

Explore conceptually related problems

the function f:R rarr R defined as f(x)=x^(3) is

Let f: R->R be defined as f(x)=(2x-3)/4 . Write fof^(-1)(1) .

Let f : R → R be a function defined by f ( x ) = 2 x − 5 ∀ x ∈ R . Then Write f^(−1) .

Let f:R to R be the function defined by f(x)=2x-3, AA x in R. Write f^(-1).

Let f:R to R be a function defined b f(x)=cos(5x+2). Then,f is

Let f: R->R be the function defined by f(x)=4x-3 for all x in R . Then write f^(-1) .

Let f:R rarr R be a function defined by f(x)=(x^(2)+2x+5)/(x^(2)+x+1) is

Let f:R rarr R be a function defined by f(x)=(x^(2)-3x+4)/(x^(2)+3x+4) then fis-

Let f:R-{(3)/(5)}rarr R be defined by f(x)=(3x+2)/(5x-3). Then

Let f : R → R be a function defined by f ( x ) = 4 x − 3 ∀ x ∈ R . Then Write f^(−1) .

RD SHARMA-FUNCTION-Solved Examples And Exercises
  1. Let f: R->R^+ be defined by f(x)=a^x ,\ a >0 and a!=1 . Write f^(-1)(x...

    Text Solution

    |

  2. Let f: R-{-1}->R-{1} be given by f(x)=x/(x+1) . Write f^(-1)(x) .

    Text Solution

    |

  3. Let f: R-{-3/5}->R be a function defined as f(x)=(2x)/(5x+3) . Write f...

    Text Solution

    |

  4. Let f: R->R , g: R->R be two functions defined by f(x)=x^2+x+1 and g(x...

    Text Solution

    |

  5. Let f: R->R be defined as f(x)=(2x-3)/4 . Write fof^(-1)(1) .

    Text Solution

    |

  6. Let f be an invertible real function. Write (f^(-1)\ of)(1)+(f^(-1)...

    Text Solution

    |

  7. Let A={1,\ 2,\ 3,\ 4} and B={a ,\ b} be two sets. Write total numbe...

    Text Solution

    |

  8. Write the domain of the real function f(x)=sqrt(x-[x]) .

    Text Solution

    |

  9. Write the domain and range of function f(x) given by f(x)=sqrt([x]-x)d...

    Text Solution

    |

  10. Write the domain of the real function f(x)=1/(sqrt(|x|-x))

    Text Solution

    |

  11. Write whether f: R->R given by f(x)=x+sqrt(x^2) is one-one, many-one, ...

    Text Solution

    |

  12. If "f"("x")=x+7 and g(x)=x-7,\ x\ \ R , find (fog)(7)

    Text Solution

    |

  13. What is the range of the function f(x)=[|x-1|]/[x-1]

    Text Solution

    |

  14. If f\ : R-: R be defined by f(x)=(3-x^3)^(1//3)\ , then find fof(x)

    Text Solution

    |

  15. If f: R->R is defined by f(x)=3x+2 , find f(f(x)) .

    Text Solution

    |

  16. Let A={1,2,3},\ B={4,5,6,7} and let f={(1,4),\ (2,5),\ (3,6)} be a ...

    Text Solution

    |

  17. If f:{5,\ 6}->{2,\ 3} and g:{2,\ 3}->{5,\ 6} are given by f={(5,\ 2),\...

    Text Solution

    |

  18. Let f: R->R be the function defined by f(x)=4x-3 for all x in R . The...

    Text Solution

    |

  19. Which one the following relations on A={1,\ 2,\ 3} is a function? f...

    Text Solution

    |

  20. Write the domain of the real function f defined by f(x)=sqrt(25-x^2) .

    Text Solution

    |