Mathematics - Functions Question with Solution | TestHub

MathematicsFunctionsCompositeMedium2 minQB

MathematicsMediumsingle choice

Passage / Comprehension

Let $f (x) = {2 x + a b x^{2} + 3 : x \geq - 1 : x < - 1$ and $g (x) = {x + 4 - 3 x - 2 : 0 \leq x \leq 4 : - 2 < x < 0$ be functions.

g(f(x)) is not defined if

Answer:

Solution:

$g (f (x))$ is not define if (i) – 2 + a > 8 and (ii) b + 3 > 8 a > 10 and b > 5

Stream:JEESubject:MathematicsTopic:FunctionsSubtopic:Composite

⏱ 2mℹ️ Source: QB

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