Let f : N → Y be a function defined as f(x) = 4x + 3 , where Y = N : y = 4x + 3 for some x N\ . The inverse of the function is: - Mathematics MCQ AIEEE 2026 | ExamTest.live

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Let f : N \to Y be a function defined as f (x) = 4 x + 3, where Y = {y \in N : y = 4 x + 3 for some x \in N} . The inverse of the function is:

Solution & Step-by-step Explanation

To find the inverse, let y = f (x) : y = 4 x + 3 Solve for x : y - 3 = 4 x x = \frac{y - 3}{4} Therefore, the inverse function g (y) is: g (y) = \frac{y - 3}{4}

Try it yourself before checking the explanation above.

Let f : N \to Y be a function defined as f (x) = 4 x + 3, where Y = {y \in N : y = 4 x + 3 for some x \in N} . The inverse of the function is:

g (y) = \frac{3 y + 4}{3}

g (y) = \frac{y + 3}{4}

g (y) = y + 43

g (y) = \frac{y - 3}{4}

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