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The domain of the function
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a
{2, 3}
b
{1, 2, 3}
c
{1, 2, 3, 4}
d
None of these
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Correct option is A
24−xC3x−1 is defined if,24−x>0,3x−1≥0 and 24−x≥3x−1 ⇒x<24,x≥13 and x≤254 ⇒13≤x≤254 .........(1) 40−6xC8x−10 is defined if40−6x>0,8x−10≥0 and 40−6x≥8x−10 ⇒x<203,x≥54 and x≤257⇒54≤x≤257 .............(2)From Eq. (1) and (2), we get54≤x≤257But, 24−x∈Nx must be an integer,x = 2, 3.Hence, domain (f) = {2, 3}.Similar Questions
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