Function questions
503 published questions with worked solutions.
- Let X and Y be subsets of R, the set of all real numbers. The function f:X Y defined by f(x)=x^2 for x X is one-one but not onto,...
- The inverse of the function f:R R given by f(x)= _a (x+ x^2+1 ) (a>0, a 1) is
- The function f:R R, defined by f(x)=[x], where [x] denotes the greatest integer less than or equal to x, is
- The inverse of the function f(x)= 10^x-10^ -x 10^x+10^ -x +1 is given by
- If the function f:R R is defined by f(x)= ^2x+ ^4x, then f(R)=
- Let f:R R and g:R R be given by f(x)=3x^2+2 and g(x)=3x-1 for all x R. Then,
- If f(x)= 3x+2 5x-3 , then
- Which of the following functions is (are) not an injective map(s)?
- f:R R is a function defined by f(x)=10x-7. If g=f^ -1 , then g(x)=
- Which of the following functions from Z to itself are bijections?
- f:R R is defined by f(x)= e^ x^2 -e^ -x^2 e^ x^2 +e^ -x^2 . Then f is
- Let f:R R be a function defined by f(x)= (5x+2). Then, f is
- Let f:(- ,2] (- ,4] be a function defined by f(x)=4x-x^2. Then, f^ -1 (x) is
- f:R R given by f(x)=5-3 x is
- Which of the following functions from A= x:-1 x 1 to itself are bijections?
- If f(x)=x^n, n N and g f(x)=n ,g(x), then g(x) can be
- The inverse of the function f:R (1,3) given by f(x)= e^x-e^ -x e^x+e^ -x +2 is
- Let f:R R be defined by f(x)=3x-4. Then, f^ -1 (x) is
- The function f:R R given by f(x)=x^2+x is
- f(x)=| x| has an inverse if its domain is
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