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If the relation f(x)={(2x-3",",x le 2),(...

If the relation `f(x)={(2x-3",",x le 2),(x^(3)-a",",x ge2):}` is a function, then find the value of a.

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The correct Answer is:
7
Given relation is function if `2(2)-3=2^(3)-a" or " a=7`
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CENGAGE PUBLICATION-RELATIONS AND FUNCTIONS-All Questions
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  2. Find the range of the function f(x)=(x^4+x^2+5)/((x^2+1)^2)

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  3. If the relation f(x)={(2x-3",",x le 2),(x^(3)-a",",x ge2):} is a funct...

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  4. If the relation f(x)={(1",",x in Q),(2",",x notin Q):} where Q is set...

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  5. Let f(x)={(x^(2)-4x+3",",x lt 3),(x-4",",x ge 3):}and g(x)={(x-3","...

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  6. Which of the following functions is/are identical to |x-2| ?

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  8. A function f from the set of natural numbers to the set of integers ...

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  12. Identify the type of the function f:R to R, f(x)=e^(x^(2))+cosx.

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  13. Let a function f:R to R be defined by f(x)=2x+cosx+sinx " for " x in ...

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