Are the functions f(x) and g(x) inverse of one another?
1 answer:
<h2>Answer:</h2><h2></h2><h3>No!</h3><h2></h2><h2>Explanation:</h2><h2></h2>
The function doesn't have inverse because it doesn't pass the horizontal line test. This test tells us that a function
has an inverse function<em> if and only if</em> there is no any horizontal line that intersects the graph of
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
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
The graph of the linear equation y = 4x + 3 can be seen at the end of the answer.
<h3>How to find the graph of the given line?</h3>Here we have the linear equation:
y = 4x + 3.
To graph it, we need to find two points that belong to the line, to do that, we evaluate in two different values of x. I will use x = 0 and x = 2.
When x = 0.
y = 4*0 + 3 = 3
So we have the point (0, 3).
When x = 2:
y = 4*2 + 3 = 8 + 3 = 11
So we have the point (2, 11)
Now we just need to graph these two points and connect them with a line. The graph of the linear equation is the one you can see below.
If you want to learn more about linear equations:
#SPJ5
