Mathematics

Inverses in Mathematics

106 Questions

Inverses in mathematics cover additive, multiplicative, and matrix operations. These concepts test the ability to reverse mathematical functions and transformations. Such questions frequently appear in various competitive examinations to evaluate fundamental algebraic skills.

Additive inverseMultiplicative inverseMatrix inversionInverse functionsLinear transformations

Inverses in Mathematics Questions

Multiple choice

What is the inverse function of f(x) = 2x + 1?

  1. f^-1(x) = (x - 1)/2

  2. f^-1(x) = (x + 1)/2

  3. f^-1(x) = 2x - 1

  4. f^-1(x) = -2x + 1
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A Correct answer
Explanation

The inverse function of f(x) is the function that undoes the operation performed by f(x). To find the inverse function of f(x) = 2x + 1, we can solve for x in terms of y: y = 2x + 1. Subtracting 1 from both sides, we get y - 1 = 2x. Dividing both sides by 2, we get x = (y - 1)/2. Therefore, the inverse function of f(x) = 2x + 1 is f^-1(x) = (x - 1)/2.