si3rraD4i
si3rraD4i si3rraD4i
  • 19-06-2018
  • Mathematics
contestada

If f(x)= x^2-2x and g(x)= 6x+4, for which value of x does (f+g)(x)=0

Respuesta :

gmany
gmany gmany
  • 19-06-2018
[tex]f(x)=x^2-2x;\ g(x)=6x+4\\\\(f+g)(x)=(x^2-2x)+(6x+4)=x^2+4x+4[/tex]

[tex](f+g)(x)=0\iff x^2+4x+4=0\\\\x^2+2x+2x+4=0\\\\x(x+2)+2(x+2)=0\\\\(x+2)(x+2)=0\\\\(x+2)^2=0\iff x+2=0\ \ \ |-2\\\\\boxed{x=-2}[/tex]

Answer Link

Otras preguntas

what is the square root of 96 simplified
Which of the following is a true statement? Argumentation and persuasive writing mean the same thing. Argumentation is what you try to avoid when practicing rhe
what is an equation that models the date below X 1,2,3,4,5 Y 3,12,27,48,75
Bureaucrats exercise __________ through rule-making and administrative adjudication.
The length of a rectangle is 3 yd more than twice the width, and the area of the rectangle is 35 yd2 . Find the dimensions of the rectangle.
What substance translates the genetic code? A. allele B. DNA C. RNA D. protein
Frankie and Caitlin are trying to move a small four-wheeler out of their garage. Frankie pushes with a force of 40N towards the outside. Caitlin pulls with a fo
Can someone help me finish answering this prompt? I'm almost done. How do the organs and systems of an animal facilitate the creature's carrying out each of the
To classify an organism a scientist finds in the field, which of these will the scientist first compare to other known organisms?
Which sentence does not contain any errors? A. They'res a rumor going around the family that my uncle is moving to Spain. B. My brother's graduation from colleg