Q2. - Algebra 2

Question

Evaluate $g(4.3)$ if $g\left(x\right)=\left[\left[x-5\right]\right]$

Step-by-Step Solution

Answer

The counter example for the given statement is  $g(4.3)=-1$

Step-1 – Greatest integer function

The Greatest integer function, written $f\left(x\right)=\left[\left[x\right]\right]$ is an example of step function. The symbol$\left[\left[x\right]\right]$ means the greatest integer less than or equal to x  

Step-2 – Substitute the respective value of x .

It is given that $g(4.6)$ If $g\left(x\right)=\left[\left[x-5\right]\right]$

Put $x=4.3$ into the given function.

$\begin{array}{l}g\left(x\right)=〚x-5〛\\ g\left(4.3\right)=〚4.3-5〛\end{array}$

Step-3 –Simplify.

$\begin{array}{l}g\left(4.3\right)=〚-0.7〛\\ =-1\end{array}$

So, the value of given function is $g\left(4.3\right)=-1$.