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) = 2x + 3, g(x) = x − 1

Accepted Answer

this problem says for the given function F X equals four X plus 15 MG X equals X plus six. Find f minus G and write the domain. So let's find what F minus G is first. So right up F minus G. Take our equation for FX. Which is four x plus 15. And subject our equation for G x minus x plus six. I'm going to put it in the parentheses just so we remember that the negative is going to distribute to both terms. If you forget that parentheses, you might miss out on the negative. So let's go ahead and simplify this your kids or X plus 15 still and we have a negative going to X negative X and negative. Going to six which is negative six symbol five. And further you will get four x minus x which is three X and minus six which is a plus nine. So equation is three X plus nine. I'm going to find what the domain of this equation is Now. Domain is determined by if we have a restriction in our polynomial in this case we don't have a fraction or a square root. You notice that we just have three X plus nine. Since we have no restrictions showing in our polynomial we have negative infinity to infinity as our domain with our domain of the infinity infinity and three X plus nine. Our answer is the answer is C. Okay I hope to help you solve the problem. Thank you for watching. Goodbye

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In Exercises 31–50, find f−g and determine the domain for each function. f(x) = 2x + 3, g(x) = x − 1

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