Check sibling questions

Example 17 - Let f(x) = root x, g(x) = x. Find f + g, fg, f/g

Example 17 - Chapter 2 Class 11 Relations and Functions - Part 2

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Transcript

Example 17 Let f(x) = √𝑥 and g(x) = x be two functions defined over the set of nonnegative real numbers. Find (f + g) (x), (f – g) (x), (fg) (x) and (𝑓/𝑔) (x) (f + g) (x) = f(x) + g(x) = √𝐱 + x, (f – g) (x) = f(x) – g(x) = √𝐱 – x (fg) x = f(x) × g(x) = √x × x = 𝑥^(1/2) × x1 = 𝑥^(1/2+1) = 𝑥^((1+2)/2) = 𝒙^(𝟑/𝟐) (f/g) (x) = (f(x))/(g(x)) where, g (x) ≠ 0, x ∈ R = √𝑥/(x ) = √𝑥/(√𝑥 ×√𝑥) = 1/√𝑥 Where , √𝑥 ≠ 0 ⇒ x ≠ 0 ∴ (𝐟/𝐠) (x) = 𝟏/√𝒙 where x ≠ 0

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Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 13 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.