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

Easy Math!!!!!! 15 POINTS!!!!!! If f(x) = 3x^2 – 12x + 4, find f(–2).
99 POINTS What is the wavelength of a sound wave that has a speed of 250 m/s and a frequency of 660 Hz?
Match the philosopher with his ideas, achievements, or events in his life. Plato A.wrote works praising one of the other philosophers who left no writings. B.ta
How was congress organized under the articles of confederation
factor 8x^2 + 10x + 2
Which of these statements BEST describes Georgia at the start of the Revolutionary War
16, 17, 18, 19 and 20
How would Law lll help guarantee a person’s rights under under Roman law?
the building of maintain ranges occurs at what type of plate boundary? a - transform b -trench c -convergent d- divergent
Find the value of x so that ST is parallel to PR.