Chapter 2: Q2. (page 92)

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

Short Answer

Expert verified

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

Step by step solution

Step-1 – Greatest integer function

The Greatest integer function, written $f (x) = [[x]]$ is an example of step function. The symbol $[[x]]$ 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 $g (x) = [[x - 5]]$

Put $x = 4.3$ into the given function.

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

Step-3 –Simplify.

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

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

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

Short Answer

Step by step solution

Step-1 – Greatest integer function

Step-2 – Substitute the respective value of x.

Step-3 –Simplify.

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Column A	Column B
The slope of linem	1

Evaluate g(4.3)if g(x)=x-5

Short Answer

Step by step solution

Step-1 – Greatest integer function

Step-2 – Substitute the respective value of x.

Step-3 –Simplify.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Geometry

Mechanics Maths

Discrete Mathematics

Calculus

Applied Mathematics

Probability and Statistics

Study anywhere. Anytime. Across all devices.

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