List of top Mathematics Questions on Functions asked in KEAM

The inverse function of $f(x) = ax + 1$, $x \in \mathbb{R}$ is itself. Then the value of $a$ is

If $f(x)=x+1$, and $g(x)=x^{3}$, then $f^{-1}(g(x))$ is equal to

The range of $f(x)=[\cos x]$, where $[x]$ is the greatest integer less than or equal to $x$, is

Let $f(x) = |x - 2|$, where $x$ is a real number. Which one of the following is true?

Let $f(x) = |x - 2|$, where $x$ is a real number. Which one of the following is true?

Let $f(x) = |x - 2|$, where $x$ is a real number. Which one of the following is true?