SELECT * FROM question_mgmt as q WHERE id=1558 AND status=1 SELECT id,question_no,question,chapter FROM question_mgmt as q WHERE courseId=3 AND subId=6 AND chapterId=88 and ex_no='3' AND status=1 ORDER BY CAST(question_no AS UNSIGNED)
Consider f : R → R given by f(x) = 4x + 3. Show that f is invertible. Find the inverse of f.
f: R → R is given by,
f(x) = 4x + 3
One-one:
Let f(x) = f(y).
∴ f is a one-one function.
Onto:
For y ∈ R, let y = 4x + 3.
Therefore, for any y ∈ R, such that
∴ f is onto.
Thus, f is one-one and onto and therefore, f - 1 exists.
Let us define g: R→ R by.
∴
Hence, f is invertible and the inverse of f is given by
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