For the three-part question that follows, provide your answer to each part in the given workspace. Identify each part with a coordinating response

Question

Given the functions below, answer the following parts.

F(x)=4x^2-3x+5 g(x)= 18/(sqrt)x

Part A: Identify the domain of f(x)-g(x). Explain your answer.

Part B: Find f(x)-g(x). Show all work.

Part C: Evaluate (f-g)(9). Show all work.

e4.q9

Answer 1

f(x) is a simple polynomial, so its domain is all reals.

g(x) has two problems. It is a quotient, so ÷0 is a hitch, leading to x!=0, and it has a radical, so x≥0. Combine them to get that x>0.

f(x)-g(x) does not make sense if x≤0.

The subtraction is just what it says on the tin. 4x²-3x+5-18/(√x)

As for evaluating at x=8, just plug it in. 4(9)²-3(9)+5-18/√(9) -> 4*81 - 3*9 + 5 - 18/3 -> 324-27+5-6 -> 296 ■