﻿ Find the values of x graphically which satisfy; Function. : Kaysons Education

# Find The Values Of x graphically Which Satisfy; Function.

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## Question

### Solution

Correct option is

Thus to find the points for which (x) = x2 – 5 is less than or equal to g(x) = [x] and g(x) = [x] is less than or equal to h(x) = x2 – 2.

Where the three functions (x), g(x) and h(x) could be plotted as;

Thus from the above graph; x2 – 5 ≤ [x] ≤ x2 – 2

where A and D is point of intersection of x2 – 5 = ± 2 ⇒

and C is point of intersection of x2 – 2 = 1

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