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🛠️ JEE➗ Maths

Let \(f,g:R\to R\) be defined as: \(f\left(x\right)=\left|x-1\right|\) and \(g\left(x\right)=\left{\begin{matrix}{e}^{x}…

Q1

Let \(f,g:R\to R\) be defined as:

\(f\left(x\right)=\left|x-1\right|\) and \(g\left(x\right)=\left{\begin{matrix}{e}^{x} & x⩾0 \\ x+1 & x⩽0\end{matrix}\right.\)

Then the function \(f(g(x))\) is

[JEE Main 2024, 5 Apr (Shift 2)]

a

neither one-one nor onto.

b

both one-one and onto.

c

onto but not one-one.

d

one-one but not onto.

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