jewellransom05
jewellransom05 jewellransom05
  • 01-09-2021
  • Mathematics
contestada

find (f/g) (x) and state the domain restriction. f (x) = 6x - 3 and g(x) = 12x^2 - 6x

Respuesta :

sqdancefan
sqdancefan sqdancefan
  • 01-09-2021

9514 1404 393

Answer:

  (f/g)(x) = 1/(2x)

  x ≠ 1/2

Step-by-step explanation:

  [tex](f/g)(x)=\dfrac{f(x)}{g(x)}=\dfrac{6x-3}{12x^2-6x}=\dfrac{6x-3}{2x(6x-3)}\\\\\boxed{(f/g)(x)=\dfrac{1}{2x}}\quad x\ne\dfrac{1}{2}[/tex]

The domain restriction x ≠ 1/2 comes from the requirement to prevent the denominator factor 6x-3 from being zero.

Answer Link

Otras preguntas

Payments designed to make up for war damage are known as
What does compris mean in French ???
How did the Romans rule differently from the Etruscans?
solve quadratic equation by factoring How do you do it 3k^2 + 72 = 33k
How Do Clownfish Catch Their Food?
write a paragraph for me using these words: art critic and art historian
Cellular respiration involves a series of chemical reactions. Which of the following is a primary way that enzymes affect these reactions? A. They decrease the
Can anyone help me with turning fractions into decimals 2 1/2
What would be m minus 4 in an algebraic expression
Why did the americans go to Oregon during manifest destiny and why did the mormon go to utah??