littlemissbobble
littlemissbobble littlemissbobble
  • 21-12-2015
  • Mathematics
contestada

Suppose that the functions h and g are defined as follows.

h(x)=x−5

g(x)=(x+2)(x+3)

(a) Find (h/g)(−4).
(b) Find all values that are NOT in the domain of h/g

Respuesta :

Jennay4399
Jennay4399 Jennay4399
  • 24-12-2015
(h/g)(-4)
[tex] \frac{(-4)-5}{(-4+2)(-4+3)} [/tex]
Plug and chug
Should come out to be -4.5
[tex] \frac{x-5}{(x+2)(x+3)} [/tex]
To find the values not in the domain, you must set each quantity in the denominator equal to zero and solve for x.
x+2=0   x+3=0
x≠-2      x≠-3
If x were either of these numbers, the denominator of the fraction would equal zero, which would give an undefined answer.
Answer Link

Otras preguntas

what is the simplified expression for- HURRY PLEASE
LETTER TO THE EDITOR You have recently been involved in a community project. Write a letter to the editor describing your involvement in this project.​
help me again Scooby doI got more Scooby snac just for you, Imao​
Answer the following questions, a) Explain different types of professions related to financial sector. b) What qualification is required to become Assistant Acc
Differences Between Nutrition And Malnutrition​
Which of these are advantages of lowering the activation energy? (2 Points) It allows chemicals to react that otherwise wouldn't it allows reactions to proceed
Is 66.06 a irrational number
You should only eat raw vegetables because if you cook vegetables, all of the vitamins are "cooked away." Your answer: True False
Convert 2 yards to centimeters. Round to the nearest whole centimeter.
solve the simultaneous equation x+2y=5x²-y²=-3​