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

Solve for n: 2^3n = 4
Please help, don’t understand
Plants get their food by which of the following ways? A. Making it from sunlightB.Eating other plants C. Absorbing it from the soil D.Taking nutrients from the
Four students are painting a wall mural for their school.Each student paints 5/7 square yard of wall space.What is the total area of the wall mural that is bein
What is this distance in standard form??
HELP PLEASE!!!!!!!!! i have 5 minutes left !!!
Successfulness of the Competition policy in South Africa- support and graphs​
PLS HELP THIS IS MY FINALS
My very last last assignment and I NEEDD HELP ASAP (part 3) Thank you all for your help so much this yr:(
please show your work