General Mathematics - Operations on Functions

Question 1

If f and g are functions with domains DO sub f and D sub g respectively, their sum is the function defined as

Answer 1

(f + g)(x) = f(x) + g(x)

Question 2

If f and g are functions with domains DO sub f and D sub g respectively, their difference is the function defined as

Answer 2

(f - g)(x) = f(x) - g(x)

Question 3

If f and g are functions with domains Dsub f and Dsub g respectively, their product is the function defined as

Answer 3

(f . g)(x) = f(x) . g(x)

Question 4

George Polya’s 4-step rule

Answer 4

explore
plan
solve
check

Question 5

If f and g are functions with domains Dsub f and Dsub g respectively, excluding the values of Dsub g that will make g(x) zero, then, their quotient is the function defined as

Answer 5

(f/g) (x) = f(x)/g(x), g(x) is not equal to 0

Question 6

If f and g are functions with domains Dsub f and Dsub g the composite function f and g defined as

Answer 6

(f o g)(x) = f(g(x))

(g o f)(x) = g(f(x))

Question 7

When a ________ is applied to two or more given functions, a new function can be formed. Each function is defined for all x in the domains of both f(x) and g(x).

Answer 7

fundamental operation