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Let f,g: Rvec be defined by f(x)=2x+1a n...

Let `f,g: Rvec` be defined by `f(x)=2x+1a n d g(x)=x^2-2` for all `x in R ,` respectively. Then, find `gofdot`

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RD SHARMA ENGLISH-FUNCTION-All Questions
  1. Write the domain of the real function f defined by f(x)=sqrt(25-x^2) .

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  2. Let A={a , b , c , d}a n df: AvecA be given by f={(a , b),(b , d),(c ,...

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  3. Let f,g: Rvec be defined by f(x)=2x+1a n d g(x)=x^2-2 for all x in ...

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  4. If the mapping f:{1,\ 3,\ 4}->{1,\ 2,\ 5} and g:{1,\ 2,\ 5}->{1,\ 3} ,...

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  6. If f(x)=-4-(x-7)^3 , write f^(-1)(x)dot

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  7. Let A={x in R :-1lt=xlt=1}=B and C={x in R : xgeq0} and let S={(x ,\...

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  8. f: R->R given by f(x)=x+sqrt(x^2) is (a) injective (b) surjective (...

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  9. If f: A->B given by 3^(f(x))+2^(-x)=4 is a bijection, then A

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  11. Let the function f: R-{-b}->R-{1} be defined by f(x)=(x+a)/(x+b) , a!=...

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  12. The function f: A->B defined by f(x)=-x^2+6x-8 is a bijection, if A=(-...

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  13. Let A={x in R :-1lt=xlt=1}=B . Then, the mapping f: A->B given by f(...

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  14. Let f: R->R be given by f(x)=[x]^2+[x+1]-3 , where [x] denotes the gre...

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  15. Let M be the set of all 2xx2 matrices with entries from the set R o...

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  16. The function f:[0,\ oo)->R given by f(x)=x/(x+1) is (a) one-one and on...

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  19. Let f be an injective map. with domain (x, y, z and range (1, 2, 3), s...

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  20. Which of the following function from Z to itself are bijections? f(x)=...

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