Function Notation & Domain
The Progressive Archive: 15 Questions (Foundation → Higher → Grade 9 Killer)
Given f(x) = 3x - 5, find f(2).
Given g(x) = x², find g(-4).
Given h(x) = 12/x, find h(3).
Solve f(x) = 10 where f(x) = 2x + 4.
Use the mapping notation f: x ↦ 5x. Find f(3).
Given f(x) = x² - 3x, find f(-2).
State the value of x that must be excluded from the domain of f(x) = 1/(x-5).
Solve f(x) = g(x) where f(x) = 2x + 1 and g(x) = x + 5.
Given f(x) = 3x + 1, solve f(x²) = 13.
Given f(x) = √(x-4), state the smallest integer in the domain.
Given f(x) = x² + 2, find an expression for f(x+3) in the form ax² + bx + c.
Given f(x) = 1/(x²+1), what is the maximum value of f(x)?
Solve f(2x) = 2f(x) for f(x) = x + 3.
State the domain of g(x) = √(9 - x²) as an inequality.
For f(x) = x² - 2x - 3, find all values of a such that f(a) = a (invariant points).
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