tylerff58741 tylerff58741
  • 02-01-2024
  • Mathematics
contestada

Consider these functions: f(x)=x+1 g(x)= 2/x. Which polynomial is equivalent to (f· g)(x)?
A. 2/x+1
B. (2x+2)/x
C. 2/x +1
D. 2/x²+x

Respuesta :

MisterBrian
MisterBrian MisterBrian
  • 02-01-2024

Answer:

C. 2/x + 1

Step-by-step explanation:

Given function:

f(x) = x+1

g(x) = 2/x

We have to find (f • g)(x) = f (g(x)).

For g(x) = 2/x, putting it in f(g(x)),we have:

  • f(2/x)

From the first function ,

  • f(x) = x+1

Then for f(2/x) , x = 2/x

  • f(2/x) = (2/x) + 1 = f(g(x)) = (f•g)(x)

[tex] \boxed{\sf f(g(x)) = (f•g)(x) = (2/x) + 1} [/tex]

Answer Link

Otras preguntas

Janelle subtracts -4 from a number the result is 2 what is the number​
can you calculate speed?
Amendments to the Constitution tend to protect who?
With the 3 Basic Economic questions, how can you solve for scarcity in your daily life?
What is a monster? Write a paragraph describing something or someone that seems monstrous to you and explain why.
Continue each pattern with the next two numbers. 1.7,14,8,16,10,20,14,?
3 · -8 + 5 - 4 ÷ 2= please help will mark as brainiest
1000 words the requirements of a personal narrative essay, it's time for you to write your own. Remember that a personal narrative should focus on the feelings,
simplify -(3² - 12) + 4 ÷ 2
On January 1, 2015, East Lansing, Inc, issues $2,000,000 of 10 percent, 5-year bonds that pay interest of $100,000 semiannually. The market rate is 8 percent at