Q2. Evaluate g(4.3)聽if g(x)=x-5... [FREE SOLUTION]

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.

$\begin{array}{l} g (x) = 銆� x 鈭� 5 銆� \\ g (4.3) = 銆� 4.3 鈭� 5 銆� \end{array}$

Step-3 –Simplify.

$\begin{array}{l} g (4.3) = 銆� 鈭� 0.7 銆� \\ = 鈭� 1 \end{array}$

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

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91影视

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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91影视

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

Theoretical and Mathematical Physics

Calculus

Mechanics Maths

Logic and Functions

Applied Mathematics

Discrete Mathematics

Study anywhere. Anytime. Across all devices.

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