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Tamil Nadu Board of Secondary EducationSSLC (English Medium) Class 10

The function ‘t’ which map temperature in Celsius (C) into temperature in Fahrenheit (F) is defined by t(C) = F where F = 95 C + 32. Find, the temperature when the Celsius value is equal to - Mathematics

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Question

The function ‘t’ which map temperature in Celsius (C) into temperature in Fahrenheit (F) is defined by t(C) = F where F = `9/5` C + 32. Find, the temperature when the Celsius value is equal to the Fahrenheit value

Sum

Solution

Given t(C) = `9/5` C + 32

consider the value of C be “x”

t(C) = `9/5` C + 32

x = `9/5` x + 32

 5x = 9x + 160

– 160 = 9x – 5x

– 160 = 4x

x = `(-160)/4` = – 40

The temperature when the Celsius value is equal to the fahrenheit value is – 40°

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Special Cases of Functions
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Chapter 1: Relations and Functions - Exercise 1.4 [Page 25]

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Samacheer Kalvi Mathematics [English] Class 10 SSLC TN Board
Chapter 1 Relations and Functions
Exercise 1.4 | Q 12. (v) | Page 25
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