Let f:R→Rf:R→R be defined by: f(x)={3x−5if x>0 1−3xif x≤0f(x)={3x−5if x>0 1−3xif x≤0
Find: f−1(0), f−1(1), f−1(−1), f−1(3), f−1(6), f−1([−6,5]), f−1([−5,5])f−1(0), f−1(1), f−1(−1), f−1(3), f−1(6), f−1([−6,5]), f−1([−5,5])
Category solved model papers
Find coefficient
i) Find coefficient of in ii) Find coefficient of in using Binomial Theorem
Find permutations of MASSASAUGA:
Prove by mathematical induction
Prove by mathematical induction:
Prove: Every positive integer can be expressed as a sum of 5’s and/or 7’s
Prove: Every positive integer can be expressed as a sum of 5’s and/or 7’s
Define Well Ordering Principle. Prove using induction: n!≥2n−1,∀n≥1n!≥2n−1,∀n≥1
How many numbers n > 5,000,000 can be formed using digits 3, 4, 4, 5, 5, 6, 7?
How many numbers can be formed using digits 3, 4, 4, 5, 5, 6, 7?