Enter a problem...
Trigonometry Examples
Step 1
Interchange the variables.
Step 2
Step 2.1
Rewrite the equation as .
Step 2.2
Subtract from both sides of the equation.
Step 2.3
Remove the absolute value term. This creates a on the right side of the equation because .
Step 2.4
The complete solution is the result of both the positive and negative portions of the solution.
Step 2.4.1
First, use the positive value of the to find the first solution.
Step 2.4.2
Move all terms not containing to the right side of the equation.
Step 2.4.2.1
Add to both sides of the equation.
Step 2.4.2.2
Add and .
Step 2.4.3
Next, use the negative value of the to find the second solution.
Step 2.4.4
Simplify .
Step 2.4.4.1
Rewrite.
Step 2.4.4.2
Simplify by adding zeros.
Step 2.4.4.3
Apply the distributive property.
Step 2.4.4.4
Multiply by .
Step 2.4.5
Move all terms not containing to the right side of the equation.
Step 2.4.5.1
Add to both sides of the equation.
Step 2.4.5.2
Add and .
Step 2.4.6
The complete solution is the result of both the positive and negative portions of the solution.
Step 3
Replace with to show the final answer.
Step 4
Step 4.1
The domain of the inverse is the range of the original function and vice versa. Find the domain and the range of and and compare them.
Step 4.2
Find the range of .
Step 4.2.1
The range is the set of all valid values. Use the graph to find the range.
Interval Notation:
Step 4.3
Find the domain of .
Step 4.3.1
The domain of the expression is all real numbers except where the expression is undefined. In this case, there is no real number that makes the expression undefined.
Step 4.4
Since the domain of is not equal to the range of , then is not an inverse of .
There is no inverse
There is no inverse
Step 5