Doubtly
@Doubtly · Joined Feb 2021
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- You can overtake a vehicle in front Through the right side of that vehicle 2
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- If f : R → R defined by f(x) = \(\frac{3 x+5}{2}\) is an invertible function, then find f-1. (a) 2 x-5/3 1
- Let f : R → R, g : R → R be two functions such that f(x) = 2x – 3, g(x) = x3 + 5. The function (fog)-1 (x) is (d) (x-7/2)^(1 / 3) 1
- If * is a binary operation on set of integers I defined by a * b = 3a + 4b – 2, then find the value of 4 * 5. answer b) 30 1
- Let * be the binary operation on N given by a * b = HCF (a, b) where, a, b ∈ N. Find the value of 22 * 4 correct option is b) 2 2
- Consider the binary operation * on Q defind by a * b = a + 12b + ab for a, b ∈ Q. Find 2 * \(\frac{1}{3}\) ( (a) 20/3 1
- The domain of the function \(f(x)=\frac{1}{\sqrt{\{\sin x\}+\{\sin (\pi+x)\}}}\) where {.} (d) None of these 2
- Range of \(f(x)=\sqrt{(1-\cos x) \sqrt{(1-\cos x) \sqrt{(1-\cos x) \ldots \ldots \infty}}}\) Correct option is c) [0, 2] 2
- Let * be a binary operation on set Q of rational numbers defined as answer is a) 5 2
- The number of binary operations that can be defined on a set of 2 elements is (a) 8 (b) 4 (c) 16 (d) 64 answer is c) 16 2
- If the binary operation * is defind on the set Q+ of all positive rational numbers by a * b (a) 3/160 1
- If f : R → R, g : R → R and h : R → R are such that f(x) = x2, g(x) = tan x and h(x) = log x, Answer is a)0 2
- If f(x) = \(1-\frac{1}{x}\), then f(f(\(\frac{1}{x}\))) (a) \(\frac{1}{x}\) (b) \(\frac{1}{1+x}\) Answer is (c) x/x-1 1
- Let \(f(x)=\frac{x-1}{x+1}\), then f(f(x)) is (a) \(\frac{1}{x}\) (b) \(-\frac{1}{x}\) Answer is (b) -1/x 1
- Let f : N → R : f(x) = \(\frac{(2 x-1)}{2}\) and g : Q → R : g(x) = x + 2 be two functions. Answer is (a) 3 2
- If f : R → R and g : R → R defined by f(x) = 2x + 3 and g(x) = x2 + 7, then the value of x for which Answer is (b) ±2 2