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

Need help quickly, thanks in advance
0.18 divided by 0.7884 show work
Mi agente de viajes sugiere que yo _____ mi dinero en efectivo en diferentes bolsillos. ponga pongo (wrong) pongas pone
what's the leading cause of air pollution?
The ratio of pears to plums is 4:3 respectively. If there are 24 pears, how many plums are there?
PLEASE HELP! Explain your answer, idk what im doing.
What is the speed of a periodic wave with a frequency of 4.5 Hz and a wavelength of 0.9m?
why did the Aztecs settle in the valley of mexico
Read the excerpt from The Great Gatsby. Instead of being the warm centre of the world, the Middle West now seemed like the ragged edge of the universe—so I dec
How did Washington become part of the transcontinental system?