 # Function Problems

## Transcribed Text

1. Given that f and g are the functions: f : x → ln(x 2 − 3), g : x → 1 3 !x i) Find the domain and range of f(x) and g(x) ii) On the same axis, sketch with explanation the graph of f(x) and g(x). 2. Solve the inequality |2x − 3| ≥ 3 + |x − 1|, and then check the solutions. 3. Find the set of values of x for which 2x − 1 3x − 6 > 1 3 Then check the solutions. 4. The function f(x) is defined as f(x) = x 2 − 4 2x 2 − 5x i) Find the asymptotes. ii) Determine the domain and range of f. iii) Identify the points of intersections with the axes. iv) Sketch the graph of f(x) using the round information above and the concept of limit.

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