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Combining Linear Functions

Combining Linear Functions 1.2 - Solution

arrow_back Return to Combining Linear Functions

We want to perform arithmetic operations with the functions and

Calculating

Let's substitute the given function rules into the expressions and Then we will perform the addition.
After we have performed the addition, the result takes the form of

Calculating

Let's substitute the given function rules into the expressions and Then we will perform the subtraction.
After we have performed the subtraction, the result takes the form of

Calculating

Let's substitute the given function rules into the expressions and Then we will perform the multiplication.
Distribute
After we have performed the multiplication, the result takes the form of

Calculating

To perform the division, let's substitute the given function rules into the expressions and
This expression cannot be simplified any further. The domain of both and is all real numbers, The domain of is the set of numbers common to the domains of both and However, the denominator cannot be Let's find the values that make
As we can see, makes Therefore, this value must be excluded from the domain of the quotient. We can say that the domain is the set of all real numbers except