newnaty1668 newnaty1668
  • 18-03-2022
  • Mathematics
contestada

Let f(x) = x + 1 and g(x) = 1/x The graph of (fog)(x) is shown below. What is the range of (fog)(x)?

Let fx x 1 and gx 1x The graph of fogx is shown below What is the range of fogx class=

Respuesta :

goddessboi goddessboi
  • 18-03-2022

Answer:

Range is [tex]\{y|y\neq 1\}[/tex]

Step-by-step explanation:

[tex]f(x)=x+1\\g(x)=\frac{1}{x}\\ \\(f\circ g)(x)=f(g(x))=f(\frac{1}{x})=\frac{1}{x}+1[/tex]

Thus, the range of the composite function is [tex]\{y|y\neq 1\}[/tex], indicated by the horizontal asymptote.

Answer Link

Otras preguntas

explain how to do the factor tree for 75
If p+q+r = 1 and pq+qr+pr = -1, and pqr = -1, find the value of [tex] p^{3}+ q^{3}+ r^{3} [/tex]
Wade can paint a certain room in 7 hours. Rhonda can paint the same room in 5 hours. How long will it take them working together to paint the room? Round your a
A 700-watt gasoline engine and a 300-watt electric motor both do 3 J of work. Which machine can do the work faster? Explain your answer.
An automobile engine exerts a force of 595 N to propel the car at 90.0 km/h on a level road.  What is the power output of the engine at that time?
what is the KE of a 1 kg ball traveling at 30 meters per second?
when does an inciting incident occur in a plot?
if a triangle has 3 side one is 12 one is 72 what is the last sude
1) what is the meaning of commutative property?2)what is the meaning of distributive property?3)what is the meaning of associative property?
express each as a single power of 2...2^a X 2^b X 2^c2^a+b X 2^a-b