Which of the following mathematical operations can be used with functions? select all that apply.
a) addition
b) subtraction
c) multiplication
d) division
e) composition

For this case, suppose that we have the following functions:

f (x)

g (x)

The following operations are valid in the functions:

Sum of functions:

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

Subtraction of functions:

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

Multiplication of functions:

h (x) = f (x) * g (x)

Division of functions:

h (x) = f (x) / g (x)

Composition of functions:

h (x) = f (g (x))

or equivalently:

h (x) = g (f (x))

Therefore, all the mentioned operations are valid for the functions.

the following mathematical operations can be used with functions:

A) Addition

B) Subtraction

C) Multiplication

D) Division

E) Composition

x =±sqrt(1/3)

step-by-step explanation:

x+4/6x=1/x

multiply each side by 6x to get rid of the fractions

6x*(x+4/6x)=1/x*6x

distribute

6x^2 +4 = 6

subtract 4 from each side

6x^2 +4-4 = 6-4

6x^2 =2

divide by 6

6x^2/6 = 2/6

x^2 = 1/3

take the square root of each side

sqrt(x^2) = ±sqrt(1/3)

x =±sqrt(1/3)