Find f/g and determine the domain for each function. f(x) = 2x...

Question

Find f/g and determine the domain for each function. f(x) = 2x + 3, g(x) = x − 1

Accepted Answer

this problem says for the given functions F of X equals five X plus 12, and G m x equals x minus +65 F over G. And domain. So let's find F over G. First we have F over G. Now the question for F is five X plus 12. Our equation for G is x minus six. So you have five X plus 12 over x minus six. Nothing really cancels out here. So we can just leave this as is I want to find out what the domain of this equation is for the domain. We always want to check if there is A polynomial in our denominator or if we have a square root to determine if we have a restriction. Now, if we look here we do have a denominator polynomial which is X -6. Check it. There's this continuity. We want to see when the denominator is equal to zero. Let's take our X -6. Set equal to zero. Let's go ahead and solve or X. Well you would add six to both sides. So we get X equals six. So at X Go six we have a dis continuity. Now our domain, our domain is normally all real numbers. But since we can't equal to six, we will say X cannot equal six, which means our domain goes from negative infinity until we get to six. And then we keep going from six to infinity. So with that as our domain, Our equation is five is 12 over X -6. The answer to this problem. It's answer. B. Okay, I hope that we solve the problem. Thank you for watching. Goodbye.

Find f/g and determine the domain for each function. f(x) = 2x + 3, g(x) = x − 1

Key Concepts

Function Division (f/g)

Domain of a Function

Linear Functions

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