newnaty1668 newnaty1668
  • 24-03-2022
  • Mathematics
contestada

if f(x)=2^x and g(x)=x-4. The graph of (fog)(x) is shown below. What is the range of (fog)(x)?

if fx2x and gxx4 The graph of fogx is shown below What is the range of fogx class=

Respuesta :

goddessboi goddessboi
  • 24-03-2022

Answer:

C) [tex]y > 0[/tex]

Step-by-step explanation:

[tex]f(x)=2^x\\\\g(x)=x-4\\\\(f\circ g)(x)=f(g(x))=f(x-4)=2^{x-4}[/tex]

This means that the parent function, [tex]f(x)=2^x[/tex], will shift 4 units to the right along the x-axis, so this DOES NOT affect the range (nor the domain either). Thus,  [tex]y > 0[/tex] would be the range.

Answer Link

Otras preguntas

identify 2 symbolic elements in the novel jane Eyre by Charlotte bronte that relate to either romantic or gothic literature
The intestinal epithelium absorbs monosaccharides by __________
What are the steps for using a compass and straightedge to construct a square? Drag and drop the steps in order from start to finish. Use a straightedge to
What connects muscle to bone
What satiric point might shaw be making in his characterization of doolittle?
A bar of copper has a mass of 216 g and a volume of 24 cm. what is the density of copper
I need help. please Algebra 2
What could be the cause of the father's suicide act in the grieving never ends?
Decide if the following definite article and noun agreement is CORRECT or INCORRECT los profesoras
On Saturday morning Briana and her friends walked 1.35 miles. What is the distance as a mixed number?