Combinations of Functions

Question 1

Sum of functions:

Answer 1

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

Question 2

Difference of functions:

Answer 2

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

Question 3

Product of functions:

Answer 3

(fg) (x) = f(x) * g(x)

Question 4

Quotient of functions:

Answer 4

(f/g) (x) = (f(x)/g(x)), g(x) ≠ 0

Question 5

The composition of the function f with the function g is:

Answer 5

(f∘g) (x) = f(g(x))