Operations on Functions
Math ⇒ Functions
Operations on Functions starts at 10 and continues till grade 12.
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See sample questions for grade 10
If f(x) = 2x + 1 and g(x) = x - 3, what is (f / g)(x) when x = 4?
If f(x) = 2x + 1 and g(x) = x - 3, what is (f + g)(-2)?
If f(x) = 2x + 3 and g(x) = x - 1, what is (f + g)(x)?
If f(x) = 2x and g(x) = 3x + 1, what is (f + g)(x)?
If f(x) = 2x and g(x) = x², what is (f - g)(0)?
If f(x) = 2x and g(x) = x², what is (f - g)(-1)?
If f(x) = 2x and g(x) = x², what is (f / g)(x) when x = 1?
If f(x) = 2x and g(x) = x², what is (f + g)(-3)?
If f(x) = 3x and g(x) = x - 4, what is (f + g)(2)?
If f(x) = 3x and g(x) = x + 2, what is (f - g)(x) when x = 1?
If f(x) = 3x and g(x) = x + 2, what is (f × g)(x)?
If f(x) = 4 and g(x) = x, what is (f × g)(x)?
Which of the following is NOT an operation on functions?
(1) Addition
(2) Subtraction
(3) Multiplication
(4) Differentiation
Which of the following is the correct definition of (f + g)(x)?
(1) f(x) + g(x)
(2) f(x) × g(x)
(3) f(x) - g(x)
(4) f(x) / g(x)
Which of the following statements is true about the domain of (f / g)(x)?
(1) It is the intersection of the domains of f and g, excluding values where g(x) = 0.
(2) It is the domain of f only.
(3) It is the domain of g only.
(4) It is all real numbers.
Fill in the blank: The product of two functions f and g is written as (f × g)(x) = _______.
Fill in the blank: The sum, difference, product, and quotient (where defined) of two functions are all _______.
True or False: (f × g)(x) = f(x) × g(x) for all x in the domain of both f and g.
True or False: The difference of two functions is always a function.
True or False: The sum of two functions is always a function.
