Composite Functions
Math ⇒ Functions
Composite Functions starts at 11 and continues till grade 12.
QuestionsToday has an evolving set of questions to continuously challenge students so that their knowledge grows in Composite Functions.
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See sample questions for grade 12
Given f(x) = 2x + 1 and g(x) = 3x - 2, find x such that (f ∘ g)(x) = 7.
Given f(x) = 2x + 1 and g(x) = x^2, find all x such that (g ∘ f)(x) = 9.
Given f(x) = 2x + 3 and g(x) = x - 5, find (f ∘ g)(x) and (g ∘ f)(x).
Given f(x) = 3x and g(x) = x^2, find (f ∘ g)(-2).
Given f(x) = x^2 - 1 and g(x) = x + 2, find (g ∘ f)(x).
Given h(x) = 3x - 1 and k(x) = x + 4, what is (h ∘ k)(2)?
If f(x) = √x and g(x) = x - 1, what is the domain of (f ∘ g)(x)?
If f(x) = 1/(x-1) and g(x) = x^2, for which values of x is (f ∘ g)(x) undefined?
If f(x) = 1/x and g(x) = x - 2, find the domain of (f ∘ g)(x).
If f(x) = 1/x and g(x) = x^2 + 1, what is the domain of (f ∘ g)(x)?
If f(x) = 2x + 1 and g(x) = 5 - x, find (g ∘ f)(x).
If f(x) = 2x + 3 and g(x) = x^2, find (f ∘ g)(x).
If f(x) = 2x and g(x) = x^2 + 1, find (g ∘ f)(x).
If f(x) = 2x and g(x) = x^2, find (f ∘ g)(-3).
If f(x) = x + 2 and g(x) = 4x, find (f ∘ g)(x) and (g ∘ f)(x). Are they equal?
If f(x) = x^2 and g(x) = √x, what is (g ∘ f)(x)?
If f(x) = x^2 and g(x) = x - 3, find (f ∘ g)(x) and simplify.
If f(x) = x^2 and g(x) = x + 1, find (f ∘ g)(3).
Given f(x) = ln(x) and g(x) = x^2 - 4, determine the domain of (f ∘ g)(x).
If f(x) = 2x + 1 and g(x) = x^2, find all real solutions to the equation (f ∘ g)(x) = (g ∘ f)(x).
