Home
Class 12
MATHS
If f: R→R ,g(x)=f(x)+3x-1, then the leas...

If `f: R→R ,g(x)=f(x)+3x-1,` then the least value of function `y=g(|x|)` is a. -9/4 b. -5/4 c. -2 d. -1

Promotional Banner

Topper's Solved these Questions

  • PROPERTIES AND SOLUTIONS OF TRIANGLE

    CENGAGE PUBLICATION|Exercise Archives (Numerical Value Type)|3 Videos
  • SCALER TRIPLE PRODUCTS

    CENGAGE PUBLICATION|Exercise DPP 2.3|11 Videos

Similar Questions

Explore conceptually related problems

If f: R to R is given by f(x)=(x^2-4)/(x^2+1) , identify the type of function.

If f: R to R is given by f(x)=(x^2-4)/(x^2+1) , identify the type of function.

Let f(x) be continuous functions f: RvecR satisfying f(0)=1a n df(2x)-f(x)=xdot Then the value of f(3) is 2 b. 3 c. 4 d. 5

Suppose f: R->R^+ be a differentiable function such that 3f(x+y)=f(x)f(y) AAx ,y in R with f(1)=6. Then the value of f(2) is a. 6 b. 9 c. 12 d. 15

If f(x) is an invertible function and g(x)=2f(x)+5, then the value of g^(-1)(x)i s

If f(x)=(a x^2+b)^3, then find the function g such that f(g(x))=g(f(x))dot

The graph of a function y=g(x) is shown in the following figure. If f(x)=-3x^2-k x-12 ,k in Ra n df(g(x))>0AAx in R then least integral value of k is equal to a. 13 b.64 c. 15 d.16

If the function f(x)=x^(3)+e^((x)/(2)) and g(x)=f^(-1)(x) , then the value of g'(1) is

Let f be a differential function such that f(x)=f(2-x) and g(x)=f(1 +x) then (1) g(x) is an odd function (2) g(x) is an even function (3) graph of f(x) is symmetrical about the line x= 1 (4) f'(1)=0

If f(x)=(x^(2)+3x+2)(x^(2)-7x+a) and g(x)=(x^(2)-x-12)(x^(2)+5x+b) , then the value of a and b , if (x+1)(x-4) is H.C.F. of f(x) and g(x) is (a) a=10 : b=6 (b) a=4 : b=12 (c) a=12 : b=4 (d) a=6 : b=10

CENGAGE PUBLICATION-RELATIONS AND FUNCTIONS-All Questions
  1. Let f(n)=1+1/2+1/3++1/ndot Then f(1)+f(2)+f(3)++f(n) is equal to (a)...

    Text Solution

    |

  2. Statement-1 : Solution of (1 + xsqrt(x^2+y^2) ) dx + y (-1 +sqrt(x^2+y...

    Text Solution

    |

  3. If f: R→R ,g(x)=f(x)+3x-1, then the least value of function y=g(|x|) i...

    Text Solution

    |

  4. Let f: R->R be given by f(x)=x^2-3 . Then, f^(-1) is given by (a)sqrt(...

    Text Solution

    |

  5. Let f(x)=(ax + b )/(cx+d). Then the fof (x)=x, provided that : (a!=0,...

    Text Solution

    |

  6. If a function satisfies (x-y) f(x+y)-(x+y) f(x-y) = 2(x^2y - y^3), AA ...

    Text Solution

    |

  7. If f(x)=x^2+x+3/4 and g(x)=x^2+a x+1 be two real functions, then the r...

    Text Solution

    |

  8. A function f (x) is defined for all x in R and satisfies, f(x + y) = f...

    Text Solution

    |

  9. If f(0)=0,f^(prime)(0)=2, then the derivative of y=f(f(f(x))) at x=0 i...

    Text Solution

    |

  10. If domain of f(x) is [1,3] , then the domain of f((log)2(x^2+3x-2))i s...

    Text Solution

    |

  11. If f:R->R is a function satisfying the property f(x+1)+f(x+3) = 2 for ...

    Text Solution

    |

  12. Period of f(x) = sgn([x] +[-x])is equal to (where [.] denotes greatest...

    Text Solution

    |

  13. A function f: R -> R satisfies the equation f(x)f(y)-f(x y)=x+yAAx ,y ...

    Text Solution

    |

  14. (f(x y))^2=x(f(y))^2:f(2)=6 A function f: R+ ? R+ defined as Then f(10...

    Text Solution

    |

  15. Let f(x+1/y) +f(x-1/y) =2f(x) f(1/y) AA x, y in R , y!=0 and f(0)=0 ...

    Text Solution

    |

  16. If a function f: R ->R be such that f(x-f(y)) = f(f(y) )+xf(y)+f(x)...

    Text Solution

    |

  17. If f(x^2-6x+6)+f(x^2-4x+4)=2x ,AA x in R then f(-3) + f(9) -5f(1)= ? ...

    Text Solution

    |

  18. Let G(x)=(1/(a^x-1)+1/2)F(x), where a is a positive real number not eq...

    Text Solution

    |

  19. Let f(x)=([a]^2-5[a]+4)x^3-(6{a}^2-5{a}+1)x-(tanx)xsgnx be an even fun...

    Text Solution

    |

  20. f(x)=sin^2x+cos^4x+2 and g(x)=cos(cosx)+cos(sinx) Also let period f(x)...

    Text Solution

    |