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

In a democratic government, majority rules, but the rights of the minority are also considered. true or false
What number must be added to 14,056 to result in the sum of 38,773
Quote 4 actions of england listed in the declaration of independence the effect those actions had in the creation of and delegated powers in the articles confed
is 3,273 greater than 3,279
What kinds of changes probably encouraged the development of early hominid societies?
Which of the following best states a central idea explored in "The Youngest Doll"? a. Taking revenge through acts of passive aggression. b. The strength an de
The lest common multiple of a number n and 6 is 42. What are of the possible whole number values for n?
When a product of integers has an odd number of negative factors what sign is the product
how to slove 9-6+4×13
What is the least amount of money that rounds to 105.40