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

List the features that are used to classify dragonflies to the family level.
Given the expression below, which statement is true about the parentheses? 10 + (26 - 4)*2 1.The parentheses indicate that 10 * 26 should be simplified last 2.T
Please help, I can’t find the answers anywhere
Collaboration is an essential skill. Justify the statement.
Solve the equation −3=8x−4y for y.
Which statement best summarizes the economic theories of Karl Marx?
Which of the following statements is most accurate? Strong acids have a very high pH, and strong bases have a very low pH. Strong acids have a very low pH, and
Enter an algebraic expression for the word phrase. Use x as your variable. the quantity 7 more than a number The expression is​
Briefly explain the dynamic characteristics of the communication process. ​
16) According to the Activity Series chemistry reference table, which of these metals will react most readily with 1.0 M HCl to produce H2(g)? 1) Zn 2) Mg 3) Ca