TastesLikeSkittles
TastesLikeSkittles TastesLikeSkittles
  • 02-03-2020
  • Mathematics
contestada

Given f(x) = x^2-3 and g(x)=x+2/x. Find (g°f)(4)

Given fx x23 and gxx2x Find gf4 class=

Respuesta :

msgondal0
msgondal0 msgondal0
  • 02-03-2020

Answer:

15/13

Step-by-step explanation:

Ver imagen msgondal0
Answer Link
Branta Branta
  • 02-03-2020

Answer:

[tex]\[\frac{171}{13}\][/tex]

Step-by-step explanation:

Given functions f(x) and g(x) are:

[tex]f(x)=\[x^{2}-3\][/tex]

[tex]g(x)=\[x+\frac{2}{x}\][/tex]

Then, (g o f)(x)=g(f(x))=g([tex]\[x^{2}-3\][/tex])

[tex]=\[x^{2}-3+\frac{2}{x^{2}-3}\][/tex]

[tex]=\[x^{2}-3+\frac{2}{x^{2}-3}\][/tex]

Evaluating the value of (g o f)(x) when x=4,

[tex]=\[4^{2}-3+\frac{2}{4^{2}-3}\][/tex]

[tex]=\[16-3+\frac{2}{16-3}\][/tex]

[tex]=\[13+\frac{2}{13}\][/tex]

[tex]=\[\frac{171}{13}\][/tex]

Answer Link

Otras preguntas

The most common gas in the atmosphere
about how thick is the Earth's crust
if harry has a line segment at (-5,3) and (5,3) what will be the new points if it is moved 3 units down and 4 units to the left
A ____ is a named group of formatting characteristics
what is the value of y? 2y y+10 50 all in degrees and in different angles of a triangle
There are 30 red marbles and 19 blue marbles in a jar. you randomly pick 3. what is the probability that you pick at least 2 red marbles?
help!!!!!! simplify this equation
what is 4.5% of 40 im asking this out of personal curiosity
When two identical objects traveling at the same speed collide head-on, an observer standing in the earth reference frame sees both objects changing direction?
A __________ is a mound of sand that is created by the wind and usually is formed on sea coasts or in deserts