The function has domain and range

MATHEMATICS · Multi-part · A Level · Mathematics · Algebra and Functions · Algebra and Functions

Problem

The function f(x)f(x) has domain {x∣x≥1}\{x \mid x \ge 1\} and range {y∣−2≤y<5}\{y \mid -2 \le y < 5\}. Find the domain and range of: (1) g(x)=f(x+4)−1g(x) = f(x + 4) - 1 (2) g(x)=−2f(3x)g(x) = -2f(3x) (3) g(x)=13f(2x−5)+4g(x) = \frac{1}{3}f(2x - 5) + 4

Related theory

Browse the problem library