Mat 540 Final

9.2
Q1 Determine (f+g)(4) when f(x)=x^2-3 and g(x)=-6/(x-2).
A1 10

Q2 What is the domain of (f-g),where f(x)=√(x+1) and g(x)=2log⁡[-(x+1) ]?
A2 {x∈R|-1≤x≤1}

Q3 a) Is the sum of two even functions even,odd,or neither?Explain. b) Is the sum of two odd functions even,odd,or neither?Explain. c) Is the sum of an even function and an odd function even,odd,or neither?Explain.
A3 a) The sum of two even functions will be even because replacing x with –x will still result in the original function. b) The sum of two odd functions will be odd because replacing x with –x will still result in the opposite of the original function. c) The sum of an even and an odd function will result in neither an even nor an odd function because replacing x with –x will not result in the same function or in the opposite of the function.
Q4…show more content…
A4 (2(2x+1))/(3x^2-2x-8)

Q5 The cost, in the thousands of dollars, for a company to produce x thousand of its product is given by the function C(x)= 10x + 30. The revenue from the sales of the product is given by the function R(x)=-5x^2+150x. Write the function that represents the company’s profit on sales of a x thousand of its product. What is the company’s profit on the sale of 7500 of its product?
A5 a) P(x)=-5x^2+140x-30 b) $738 750

Q6Determine the domain and range of (f-g)(x)and (f+g)(x)if f(x)=10^x and