Types of functions, composition, invertibility, binary operations.
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Q1 · Relations and Functions (Class 12) · EASY
Let f: R → R be defined by f(x) = 3x + 5. Then f is:
Q2 · Relations and Functions (Class 12) · MEDIUM
If f: R → R and g: R → R are defined by f(x) = 2x - 1 and g(x) = x² + 2, then (gof)(1) equals:
Q3 · Relations and Functions (Class 12) · MEDIUM
Let * be a binary operation on the set Q of rational numbers defined by a * b = (a + b)/2. Then the identity element for * is:
Q4 · Relations and Functions (Class 12) · EASY
Let f : R → R be defined by f(x) = 3x + 5 and g : R → R be defined by g(x) = 2x − 1. If (f ∘ g)(a) = 23, then the value of a is