Find the inverse of the function.
1 answer:
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Answer:
Step-by-step explanation:
First, let's examine our original statement.
Using exponent rules, we know that if we have , then simplified, the answer will be equivalent to
.
So we can simplify this by adding the exponents and
.
Converting into fourths gets us
.
.
So we now have .
When we have a number to a fraction power, it's the same thing as taking the denominator root of the base to the numerator power.
Basically, this becomes
. (The numerator is what we raise x to the power of, the denominator is the root we take of that).
Hope this helped!
The equation of the line of the graph would be, y = 5/3x.
The graph of the line is shown in the diagram attached below.
<h3>What is a Proportional Relationship Graph?</h3>A proportional relationship is usually defined and expressed as the equation, y = kx, where:
x and y are the two variables that are in a proportional relationship with one another
k is the constant of proportionality or unit rate of change.
The unit rate of change is also the slope of the line that represents the proportional relationship graph, and passes through the point of origin, (0, 0).
Given that the line that represents a proportional relationship between x and y is where the unit rate of change is given as 5/3, the equation of the line of the graph would be, y = 5/3x.
The graph of the line is shown in the diagram attached below.
Learn more about proportional relationship graph on:
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