f(x)=2x-4

g(x)=-3x+5

(f+g)(x)=(2x-4)+(-3x+5)

(f+g)(x)=-x+1

Example

When you see the notation

(f+g)(x), this means to add f(x) to g(x). You are taking the two functions and combining like terms.

Notes

Adding Functions

Some text here about the topic of discussion

f(x)=2x-4

g(x)=-3x+5

(f-g)(x)=(2x-4)-(-3x+5)

(f-g)(x)=5x-9

Example

When you see the notation

(f-g)(x), this means to subtract g(x) from f(x). You are taking the two functions and combining like terms.

Notes

Subtracting Functions

Some text here about the topic of discussion

f(x)=2x-4

g(x)=-3x+5

(f⋅g)(x)=(2x-4)(-3x+5)

(f⋅g)(x)=-6x²+22x-20

Example

When you see the notation

(f⋅g)(x), this means to multiply f(x) and g(x). You will need to use the distributive property or FOIL to get your final answer.

Notes

Multplying Functions

Some text here about the topic of discussion

f(x)=2x-4

g(x)=-3x+5

(f/g)(x)=(2x-4)/(-3x+5)

There is no way to simplify further. Leave as fraction.

Example

When you see the notation

(f/g)(x), this means to divide f(x) by g(x). Most times you will just be rewriting the function as a fraction. Sometimes you may be able to simplify.

Notes

Dividing Functions

Some text here about the topic of discussion