alegrecohen13 alegrecohen13

28-08-2016
Mathematics

contestada

Evaluate the difference quotient for the given function. Simplify your answer.
f(x) = 3 + 3x − x2,
f((5 + h) − f(5))/h

Respuesta :

dalendrk dalendrk

29-08-2016

[tex]f(x)=3+3x-x^2;\ x_0=5\\\\\dfrac{f(x_0+h)-f(x_0)}{h}=\dfrac{3+3(5+h)-(5+h)^2-(3+3\cdot5-5^2)}{h}\\\\=\dfrac{3+15+3h-(25+10h+h^2)-(3+15-25)}{h}\\\\=\dfrac{18+3h-25-10h-h^2-(-7)}{h}\\\\=\dfrac{-h^2-7h-7+7}{h}\\\\=\dfrac{-h^2-7h}{h}\\\\=\boxed{-h-7}[/tex]

Answer Link

Otras preguntas

1. Brett sustained a concussion in a football game and could not recall the events of the day prior to the concussion. (Retrograde amnesia / Anterograde amnesia

how do forensic scientist determine what exactly everything is

Suppose investors believe the economy will grow in the future. Which of the following best describes the impact of this belief on demand for loanable funds and

Using a company's cost of capital to evaluate a project is: I) always correct; II) always incorrect; III) correct for projects that have average risk compare

Write the temperature at 502.5 feet below sea level as a rational number.

When Julia Wang quoted former U.S. Social Security Commissioner Dorcas Hardy in her speech on reforming the Social Security system, she was using what your text

What is the domain of the given function? a) {x | x = –6, –1, 0, 3}; {y | y = –7, –2, 1, 9} b) {x | x = –7, –6, –2, –1, 0, 1, 3, 9}; {y | y = –7, –6, –2, –1,

Use the following selected information from Wheeler, LLC to determine the 2017 and 2016 common size percentages for operating expenses using Net sales as the ba

Secretary of State, John Hay, concerned that the United States might be squeezed out of economic activities in a vast and populous land, sent "____________" not

All of a country’s citizens pay the businessesgovernmentinsurance companies an income tax that is 7% of their annual earnings. This tax is an indirecta progress