Secondary revision · Mathematics - G12
Functions: Composition and Inverse (G12)
Question 1 of 8
Grade: Twelve - G12
Q1
Essay · up to 5 points
The functions f and g are defined by f(x) = 3x - 4 and g(x) = (x+1)/3. Find f^(-1)(x).
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About this topic
Explore advanced functions including composition and inverse functions. Build foundational skills for calculus and higher-level mathematics.
What you'll practise (8 questions)
- Given that f(x) = (3x - 5)/2 and g(x) = x + 2, find f^(-1)(x).
- Given that f(x) = (3x - 5)/2 and g(x) = x + 2, find f^(-1)(5).
- Given that f(x) = (3x - 5)/2 and g(x) = x + 2, find fg(x).
- The functions f and g are defined by f(x) = 3x - 4 and g(x) = (x+1)/3. Find f^(-1)(x).
- The functions f and g are defined by f(x) = 3x - 4 and g(x) = (x+1)/3. Find gf(x).
- The functions f and g are defined by f(x) = 3x - 4 and g(x) = (x+1)/3. Find gf(-3).
- A function f is defined by f(x) = 2x - 5. Find f^(-1)(x).
- A function f is defined by f(x) = 2x - 5. Find ff^(-1)(2).
Answer each question above to see the correct answer and a full explanation.