iiii127 iiii127
  • 22-07-2022
  • Mathematics
contestada

Determine the x-intercept(s) of the rational function:
f(x) = (x ^ 2 - 16)/(x ^ 2 - 2x - 3)

Respuesta :

justgirlbossin
justgirlbossin justgirlbossin
  • 22-07-2022

Answer:

(-4,0) and (4,0)

Step-by-step explanation:

The x-intercepts occur for values of x where f(x) = 0.

f(x) = 0 when the nominator ([tex]x^{2} - 16[/tex]) = 0.

[tex]x^{2} -16[/tex] is a difference of squares,
so you can factor it as (x + 4)(x – 4)

When x = –4 or x = 4, the nominator is 0, and f(x) = 0

Answer Link

Otras preguntas

According to Christian beliefs, Jesus was sent to Earth to
Help me please! How many elementary events with ten throws of the coin?
The following excerpt from chapter 6 of Emily Brontë's Wuthering Heights features Nelly’s description of Hindley’s wife, Frances. Which literary technique is ev
If two of a triangles angles measure 42 degrees and 48 degrees, how would you classify that triangle
Mark the items if they were products that Europeans wanted from the Americas. A. indigo and cochineal B. animal hides C. silver and gold D. grapes and oliv
Goblet cells, salivary glands, sweat glands, oil glands, liver, pancreas, and lacrimal glands are all structures of the endocrine system. the exocrine system. t
How many pairs of chromasones are in each of your somatic body cells?
Who ruled England when Shakespeare was writing his plays? Queen Elizabeth I Mary Queen of Scots King Henry VIII King Richard III
Which gas is the most abundant of the trace gases? nitrogen oxygen argon carbon dioxide
Why is soil composition important?