[.] represents greatest integer function. Let $g(x)=1+x-[x]$ and $f(x)=\left\{\begin{array}{cl}-3, & x 0\end{array}\right.$ $f(g(x))$ is

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Aicharya · Accepted Answer

We have, $g(x)=1+x-[x]$ $g(x)=1+\{x\} \quad[\because x-[x]=\{x\}]$ $\Rightarrow g(x) \in[1,2) \quad[\because\{x\} \in[0,1)]$ Now, $f(x)=\left\{\begin{array}{cc}-3, & x 0\end{array}ight.$ $	herefore \quad f(g(x))=5 ; g(x) \geq 1$

[.] represents greatest integer function. Let $g(x)=1+x-[x]$ and $f(x)=\left\{\begin{array}{cl}-3, & x…

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