SUM DIFFERENCE PRODUCT AND QUOTIENT OF FUNCTIONS WORKSHEET

Find

(i)  (f + g)(x)

(ii)  (f – g)(x)

and state the domain of each. Then evaluate f + g and f - g for the given value of x.

Problem 1 :

f(x) = -5∜x, g(x) = 19∜x; x = 16

Solution

Problem 2 :

f(x) = ∛2x, g(x) = -11∛2x; x = -4

Solution

Problem 3 :

f(x) = 6x - 4x² – 7x³, g(x) = 9x² – 5x; x = -1

Solution

Problem 4 :

f(x) = 11x + 2x² , g(x) = -7x – 3x² + 4; x = 2

Solution

Problem 1 :

If f(x) = 2x - 6 and g(x) = x² - 5x + 6, find f(x)/g(x).

Solution

Problem 2 :

If f(x) = -7x + 2 and g(x) = x³ + x², find (g · f)(x).

Solution

Problem 3 :

If f(x) = 4x - 8 and g(x) = -x² + 6x - 8; find the following.

i) f(x) · g(x)     ii) (g/f)(x)

Solution

Problem 4 :

If f(x) = 10x + 3 and g(x) = x + 15, find (f/g)(6).

Solution

Problem 5 :

If f(x) = -3x - 9 and g(x) = 5x² + 1, find g(-3) · f(-3).

Solution

Problem 6 :

If f(x) = 5 - x and g(x) = 12 + 7x²; find the following.

i) (f · g)(-2)      ii) g(4)/f(4)

Solution

Problem 7 :

f(x) = 2x³ - 5x² and g(x) = 2x - 1

Find (f  · g)(x).

Solution

Problem 8 :

g(t) = t² + 3 and h(t) = 4t - 3

Find (g · h)(-1)

Solution

Problem 9 :

g(a) = -3a² - a and h(a) = -2a - 4

Find (g/h)(a)

Solution

Problem 10 :

f(x) = 3x - 1 and g(x) = x² - x

Find (f/g)(x)

Solution