If f(x) = x/(x-1), then f(a)/f(a+1) is equal to: (a) f(a2) (b) f(1/a) (c) f(-a) (d) f(-a/a-1) Solution: Given f(x) = x/(x-1) f(a) = a/(a-1) f(a+1) = (a+1)/(a+1-1) = (a+1)/a... View Article
If a function F is such that F(0) = 2, F(1) = 3, F(x + 2) = 2 F(x) – F(x + 1) for x ≥ 0, then F(5) is equal to (a) -7 (b) -3 (c) 17 (d) 13 Solution: Given F(0) = 2, F(1) = 3 F(x + 2) = 2 F(x) - F(x + 1)....(i) Put x = 0 in... View Article
Which of the following functions are periodic? (a) f(x) = log x, x > 0 (b) f(x) = ex, x ∈ R (c) f(x) = x - [x], x ∈ R (d) f(x) = x + [x], x ∈ R Solution:... View Article
