Question

Two functions f and g can be combined by the arithmetic operations of _____, _____, _____, and _____ to create new functions. (Select all that apply)

A. Multiplication
B. Subtraction
C. Division
D. Reflection
E. Addition
F. Transformation
G. Shifting
H. Composition

Answer 1

Two functions f and g can be combined by the arithmetic operations of addition, subtraction, multiplication, and division to create new functions.

Step-by-step explanation:

Two functions f and g can be combined by the arithmetic operations of Addition, Subtraction, Multiplication, and Division to create new functions.

For example, if we have two functions f(x) = 2x and g(x) = x^2, we can combine them using addition to get a new function h(x) = f(x) + g(x) = 2x + x^2.

Alternatively, we can use multiplication to combine them, such as h(x) = f(x) * g(x) = 2x * x^2 = 2x^3.