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

Name the art piece above, its location, and the technique the artist used to create it. What can be observed about this piece and the technique used?
What is the LCM if 4 and 6
What were some consequences of the reign of terror?
Sam ate 2 corn dogs and 5 caramel apples at the fair if corndogs cost $2.25 and caramel apples cost $0.95 cents a piece, what is the ratio of total cost of cor
is georgia located in the southern region of the us
What is a country‘s GDP
Which expression is a quadratic binomial? x2−9x 2x4+9x2−6x−1 7x² 3x4−2x
which of the following did both male and female children in Rome typically do
Refer to Explorations in Literature for a complete version of this narrative. In "Goodbye to All That," Joan Didion writes that the days before she "knew the na
Help please I’ll give you 5 stars