Question

If a(x) = 3x + 1 and b(x)=x-4, what is the domain of (bºa)(x)?

Answer 1

The domain of (bºa)(x) is all real number

Step-by-step explanation:

Given

$a(x) = 3x+1\\b(x) = x-4$

We will find the composition first

so,

$(boa)(x) = 3x+1-4\\= 3x-3$

As there is no denominator involved in the functions, there will be no input that will approach the function to infinity so the function will be defined on all real numbers

So,

The domain of (bºa)(x) is all real number

Keywords: Functions, domain

Learn more about domain at:

• brainly.com/question/556621
• brainly.com/question/5563823

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