Operations on Functions
Math ⇒ Functions
Operations on Functions starts at 10 and continues till grade 12.
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If f(x) = √x and g(x) = x + 1, what is the domain of (f × g)(x)?
If f(x) = 2x + 1 and g(x) = x - 2, what is (f × g)(x)?
If f(x) = 2x + 3 and g(x) = x - 1, what is (f + g)(x)?
If f(x) = 2x and g(x) = 3, what is (f + g)(x)?
If f(x) = 2x and g(x) = 3x, what is (f + g)(x) when x = 5?
If f(x) = 2x and g(x) = x - 3, find (f + g)(4).
If f(x) = 3x and g(x) = x², what is (f - g)(-2)?
If f(x) = x + 1 and g(x) = 2x, what is (f - g)(x)?
If f(x) = x + 1 and g(x) = x - 1, what is (f / g)(3)?
If f(x) = x + 2 and g(x) = 2x + 1, what is (f - g)(x)?
If f(x) = x + 2 and g(x) = 2x, what is (f × g)(x)?
If f(x) = x and g(x) = 1/x, what is (f × g)(x) for x ≠ 0?
If f(x) = x and g(x) = 1/x, what is the domain of (f + g)(x)?
Which of the following is the correct definition of the difference 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(x) / g(x)
Let f(x) = |x| and g(x) = x². Which of the following is the correct expression for (f - g)(-3)?
(1) 6
(2) -6
(3) 0
(4) 3
Suppose f(x) = x² + 2x and g(x) = 5x - 3. Which of the following is the correct expression for (f - g)(x)?
(1) x² - 3x + 3
(2) x² + 7x - 3
(3) x² - 3x - 3
(4) x² - 3x + 2x - 3
Let f(x) = √(x-1) and g(x) = 1/(x+2). The domain of (f × g)(x) is ________.
The product of two functions f and g is always a function. True or False?
The sum of two functions f and g is defined as (f + g)(x) = f(x) + g(x). True or False?
True or False: The quotient of two functions f and g, (f / g)(x), is defined for all x in the domain of f except where g(x) = 0.
