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Let f(x) and g(x) be one-one onto functi...

Let f(x) and g(x) be one-one onto functions where `f : {a,b,c,d} rarr {1,2,3,4}` and `g : {3,4,5,6} rarr {w,x,y,z}` respectively. The number of elements in the range set of g (f(x)) are

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Range of f(x) for which g (f(x)) is defined is {3, 4}. Hence domain of g (f(x)) has two elements.
` therefore` Range of g (f(x)) also has two elements.
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PATHFINDER-FUNCTION-QUESTION BANK
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  2. The number of solutions of 2{x} - 1 = nx where n in (2,infty) and {.} ...

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  3. Let f(x) and g(x) be one-one onto functions where f : {a,b,c,d} rarr {...

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  4. A polynomial f(x0 satisfies the condition f(x).f(1/x)=f(x)+f(1/x) and ...

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  5. The number of solutions of sin(x/2) + 2 pi x = x^2 + pi^2 + 1 must be

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  6. Let f be a function from the set of positive integers to the set of re...

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  7. Let f be a function from the set of positive integers to the set of re...

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  8. A function f : R rarr R is defined as f(x) = (alpha x^2 + 6x - 8 )/(al...

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  9. Find the domain of the following function : f(x) = sqrt(sin^(-1)(log...

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  10. Range of f(x) = (sin^2x + sin x -1)/(sin^2x - sin x + 2)

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  11. If p and q are positive integers, f is a function defined for positive...

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  12. Check whether the function defined f(x + lambda) = 1 + sqrt(2f(x) - f^...

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  13. Let f(x, y) be a periodic function satisfying the condition f(x, y) = ...

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  14. If f(x) = 2x + |x|, g(x) = 1/3(2x - |x|) and h(x) = f(g(x)), then find...

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  15. Find the domain and range of h(x) = g(f(x), where f(x) = {([x], -2l...

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  16. Determine all functions f : R rarr R satisfying f(x-f(y)) = f(f(y)) + ...

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  17. Let R rarr f(x) = x^3 + ax^2 + bx + c sin x, a, b, c in R Find the con...

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  18. If f(x) satisfies the relation f(x + y) = f(x) + f(y) AA x,y in R and...

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  19. In the function f(x) is defined for x in[0,1] then the function f(2x+3...

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  20. The domain of the function f(x)=sin^(-1)(x-3)/sqrt(9-x^2) is

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