Math Chapter Wise question with answer

Q01 The value of the parameter α, for which the function f(x) = 1+αx, α ≠ 0 is the inverse of itself, is English · UKPSC GIC 2018 Q02 Let f: N→Y be a function defined as f (x) = 4x+3, where Y = {y: y = 4x+3 for some x∈N). The inverse of f (x) is English · TGT 2010 Q03 If g(x) is the inverse function of an invertible function f(x) which is differentiable at x = –1 then g′ ′ ′ {f(–1)... English · RPSC PGT 2022 Q04 If Q0 is the set all non-zero rational numbers then and *the function is defined * 3 ab a b = where ab is a normal... English · PGT 2013 Q05 Given that the set Z of integers forms a group under the binary operation *, defined by a*b= a+b+1; a, b∈Z The inve... English · LT 2018/ TGT 2011 Q06 In the field () R,, ⊕ ⊕ ⊙ ⊙ ⊙ where R is set of real numbers and a ⊕ ⊕ ⊕ b = a + b –1, a ⊙ ⊙ ⊙ b = a + b – ab for a... English · Rajasthan TGT 2013