vallartapapayaox0bw9 vallartapapayaox0bw9
  • 02-02-2022
  • Mathematics
contestada

find the domain of the function f/g(x) given f(x)=x^2+2x-8 and g(x)=x^2-16

find the domain of the function fgx given fxx22x8 and gxx216 class=

Respuesta :

goddessboi goddessboi
  • 02-02-2022

Answer:

C) [tex]\{x|x\neq-4 \:or \:4\}[/tex]

Step-by-step explanation:

[tex]\frac{x^2+2x-8}{x^2-16}\\ \\\frac{(x+4)(x-2)}{(x+4)(x-4)}\\ \\x\neq-4 \:or \:4[/tex]

Here, [tex]x\neq-4[/tex] is a hole on the graph since [tex]x+4[/tex] exists in both the numerator and denominator.

Answer Link

Otras preguntas

How does the suffix change the meaning of the base word in instruction
I need help with part 15 b. Thank you
suppose that x and y are both integers. find the solution of 10x^2+11xy+3y^2=7
What percent of 150 is 9?
3k-1=7k+2How do I solve this? and other problems like this?
$1.06 what is it rounded to the nearest cent
When you sneeze, the air in your lungs accelerates from rest to approximately 150km/h in about 0.50 seconds. What is the acceleration, in units of g?
what was not the cause of the great depressiona. overproduction b. stock speculation c. under consumption d. foreign competition
toussaint L'Overtture led a revolt that eventually resulted in independence for what country
what would result if chromosomes did not replicate during interphase