Last updated at Dec. 24, 2021 by
Transcript
Misc 1 Let f : R β R be defined as f(x) = 10x+ 7. Find the function g : R β R such that gof= fog= IR Here g is the inverse of f Finding inverse of f f(x) = 10x + 7 Let f(x) = y y = 10x + 7 y β 7 = 10x 10x = y β 7 x = (π β π)/ππ Let g(y) = (π β π)/ππ where g: R β R Now, we have to check the condition gof = fog = IR Finding gof gof = g(f(x)) = g(10x + 7) = ((10π₯ + 7) β 7)/10 = (10π₯ + 7 β 7)/10 = 10π₯/10 = x = IR Finding fog fog = f(g(y)) = f((π¦ β 7)/10) = 10 ((π¦ β 7)/10) + 7 = y β 7 + 7 = y + 0 = y = IR Since gof = fog = IR, β΄ f is invertible & Inverse of f = g(y) = (π β π)/ππ
Finding Inverse
Inverse of a function
How to check if function has inverse?
Example 22 Deleted for CBSE Board 2022 Exams
Ex 1.3, 5 (i) Deleted for CBSE Board 2022 Exams
How to find Inverse?
Example 28 (a) Deleted for CBSE Board 2022 Exams
Misc 11 (i) Important Deleted for CBSE Board 2022 Exams
Ex 1.3, 11 Deleted for CBSE Board 2022 Exams
Example 27 Important Deleted for CBSE Board 2022 Exams
Misc 1 Deleted for CBSE Board 2022 Exams You are here
Ex 1.3 , 6 Deleted for CBSE Board 2022 Exams
Ex 1.3, 14 (MCQ) Important Deleted for CBSE Board 2022 Exams
Example 23 Important Deleted for CBSE Board 2022 Exams
Misc 2 Deleted for CBSE Board 2022 Exams
Ex 1.3 , 4 Deleted for CBSE Board 2022 Exams
Example 24 Deleted for CBSE Board 2022 Exams
Ex 1.3 , 8 Important Deleted for CBSE Board 2022 Exams
Example 25 Important Deleted for CBSE Board 2022 Exams
Ex 1.3 , 9 Important Deleted for CBSE Board 2022 Exams
Finding Inverse
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