In Exercises 31–50, find f−g and determine the domain for each fu...

Question

In Exercises 31–50, find f−g and determine the domain for each function. f(x) = 3 − x², g(x) = x² + 2x − 16

Accepted Answer

for the given functions F X equals 12 minus three X squared n G x equals three X squared minus 18 X plus 27. Find f minus G and write the domain. So let's go in and write out f minus G. So we have f minus G. Now we have F which is 12 minus three X squared minus and parentheses three X squared minus 18 X plus 27. Now I put in parentheses because I want to make sure that we don't lose any negatives here, negative has to carry over to all of those terms. So we can go do that now we get 12 minus three X squared minus three X squared plus 18 X minus 27. Let's go ahead and simplify this. What gets negative? Three X squared minus three X squared. That results in negative six X squared. We have a plus 18 x which is unchanged. Finally we have 12 -27 which is -15. I can't actually factor this anymore. So this is our f minus G. Not going to figure out what the domain is. This is a polynomial. X squared. We don't see any restrictions in this polynomial. So since we have no restrictions, our domain is going to be negative infinity to infinity which is all real numbers with that as our domain and six X squared plus 18 X minus 15 as our function. The answer to this problem has answered B. Okay, I hope that we solve the problem. Thank you for watching. Goodbye

In Exercises 31–50, find f−g and determine the domain for each function. f(x) = 3 − x², g(x) = x² + 2x − 16

Key Concepts

Function Subtraction

Domain of a Function

Polynomial Functions

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