Operations on Functions

Math ⇒ Functions

Operations on Functions starts at 10 and continues till grade 12. QuestionsToday has an evolving set of questions to continuously challenge students so that their knowledge grows in Operations on Functions. How you perform is determined by your score and the time you take. When you play a quiz, your answers are evaluated in concept instead of actual words and definitions used.

See sample questions for grade 12

Given f(x) = x - 1 and g(x) = 3x, what is (f - g)(x)?

If f(x) = 1/x and g(x) = x - 2, what is the domain of (f ∘ g)(x)?

If f(x) = 2x + 1 and g(x) = x - 3, what is (f + g)(x)?

If f(x) = 2x + 3 and g(x) = x^2, find (f + g)(x).

If f(x) = 2x and g(x) = x - 1, what is (g ∘ f)(4)?

If f(x) = 3x and g(x) = x^2 + 1, find (f ∘ g)(x).

If f(x) = x + 1 and g(x) = 2x, what is (f - g)(x)?

If f(x) = x + 1 and g(x) = 2x, what is (f + g)(3)?

If f(x) = x + 2 and g(x) = 3x, what is (g ∘ f)(x)?

If f(x) = x + 2 and g(x) = x - 2, what is (f / g)(x)?

If f(x) = x^2 and g(x) = √x, what is the domain of (f ∘ g)(x)?

If f(x) = x^2 and g(x) = √x, what is the range of (g ∘ f)(x) for x ≥ 0?

If f(x) = x^2 and g(x) = 2x + 1, find (g ∘ f)(x).

If f(x) = x^2 and g(x) = 2x, find (f × g)(x).

If f(x) = x^2 and g(x) = 2x, what is (f ∘ g)(1)?

If f(x) = x^2 and g(x) = x + 1, what is (f - g)(0)?

Which of the following is the correct definition of the sum of two functions f and g? (1) (f + g)(x) = f(x) + g(x) (2) (f + g)(x) = f(x) × g(x) (3) (f + g)(x) = f(x) - g(x) (4) (f + g)(x) = f(g(x))

If f(x) = x^2 and g(x) = x + 1, is (f ∘ g)(x) = (g ∘ f)(x)?

If f(x) = x^2 and g(x) = x, is (f × g)(x) = (g × f)(x)?

True or False: The composition of functions is always commutative.