Are the functions f(x) and g(x) inverse of one another?

Mathematics

1 answer:

lozanna [386]3 years ago

8 0

<h2>Answer:</h2><h2></h2><h3>No!</h3><h2></h2><h2>Explanation:</h2><h2></h2>

The function $f(x)$ doesn't have inverse because it doesn't pass the horizontal line test. This test tells us that a function $f$ has an inverse function<em> if and only if</em> there is no any horizontal line that intersects the graph of $f$ at more than one point. As you can see, from the graph of f (the red one), if you draw an horizontal line that passes through $y=4$ then this line will touch the graph of f at three points, so the horizontal line test is not satisfied here. If you see the graph of g, this doesn't represent a function because there is at least one vertical line that touches the graph at more than one point, so this relation is not a function.

You might be interested in

On a string of red and blue lights, the red lights blink everyb3 seconds, and the blue lights blink every 5 seconds. How many ti

yuradex [85]

When will they blink together?
what is the smallest number they both mutiply to
3*5=15
so every 15 seconds
so at 15, 30, 45, 60 seconds
so 4 times if you count the time exactly at 1 minute

5 0

3 years ago

A rectangular package sent by a postal service can have a maximum combined length and girth (perimeter of a cross sectio) of 108

Morgarella [4.7K]

Answer:

The maximum volume of the package is obtained with a cross section of side 18 inches and a length of 36 inches.

Step-by-step explanation:

This is a optimization with restrictions problem.

The restriction is that the perimeter of the square cross section plus the length is equal to 108 inches (as we will maximize the volume, we wil use the maximum of length and cross section perimeter).

This restriction can be expressed as:

$4x+L=108$