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# Let R be the set of real numbers and the mapping f :R ? R and g : R ? R be defined by f(x) = 5 – x2 and g(x) = 3x – 4 , then the value of (fog)(–1) is (A) –44 (B) –54 (C) –32 (D) –64

Jitender Singh IIT Delhi
askIITians Faculty 158 Points
7 years ago
Ans: -44
$f(x) = 5-x^{2}$
$g(x) = 3x-4$
$fo(g(x)) = 5-(3x-4)^{2}$
$fo(g(-1)) = 5-(3(-1)-4)^{2} = 5 - (-7)^{2} = 5-49 = -44$
Thanks & Regards
Jitender Singh
IIT Delhi