Let f , g : R → R be defined as : f ( x ) = ∣ x − 1∣ and g ( x ) = { e x , MARA x + 1 , x ≥ 0 x ≤ 0 Then the function f ( g ( x )) is

f ( g ( x )) = ∣ g ( x ) − 1∣ f o g [ ∣ e x − 1 ∣ ∣ x + 1 − 1∣ x ≥ 0 x ≤ 0 fog [ e x − 1 − x x ≥ 0 x ≤ 0

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MathematicsFunctionsCompositeHard2 minPYQ_2024

MathematicsHardsingle choice

Let $f, g : R \to R$ be defined as : $f (x) = ∣ x - 1∣ and g (x) = {e^{x}, MARA x + 1, x \geq 0 x \leq 0$
Then the function $f (g (x))$ is

Answer:

Solution:

$f (g (x)) = ∣ g (x) - 1∣ f o g [∣ e^{x} - 1 ∣ ∣ x + 1 - 1∣ x \geq 0 x \leq 0 fog [e^{x} - 1 - x x \geq 0 x \leq 0$

Stream:JEESubject:MathematicsTopic:FunctionsSubtopic:Composite

⏱ 2mℹ️ Source: PYQ_2024

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