# Find the Inverse f(x)=2x^2-8x+1 , x>=2

Find the Inverse f(x)=2x^2-8x+1 , x>=2
,
Find the range of the given function.
The range is the set of all valid values. Use the graph to find the range.
Convert to an inequality.
Find the inverse.
Interchange the variables.
Solve for .
Rewrite the equation as .
Subtract from both sides of the equation.
Use the quadratic formula to find the solutions.
Substitute the values , , and into the quadratic formula and solve for .
Simplify.
Simplify the numerator.
Raise to the power of .
Multiply by .
Apply the distributive property.
Multiply by .
Multiply by .
Subtract from .
Factor out of .
Factor out of .
Factor out of .
Rewrite as .
Factor out of .
Rewrite as .
Pull terms out from under the radical.
Multiply by .
Simplify .
Simplify the expression to solve for the portion of the .
Simplify the numerator.
Raise to the power of .
Multiply by .
Apply the distributive property.
Multiply by .
Multiply by .
Subtract from .
Factor out of .
Factor out of .
Factor out of .
Rewrite as .
Factor out of .
Rewrite as .
Pull terms out from under the radical.
Multiply by .
Simplify .
Change the to .
Simplify the expression to solve for the portion of the .
Simplify the numerator.
Raise to the power of .
Multiply by .
Apply the distributive property.
Multiply by .
Multiply by .
Subtract from .
Factor out of .
Factor out of .
Factor out of .
Rewrite as .
Factor out of .
Rewrite as .
Pull terms out from under the radical.
Multiply by .
Simplify .
Change the to .
The final answer is the combination of both solutions.
Replace with to show the final answer.
Find the inverse using the domain and the range of the original function.
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### Name

Name six hundred eleven million two hundred twenty-six thousand forty-five

### Interesting facts

• 611226045 has 16 divisors, whose sum is 1303948992
• The reverse of 611226045 is 540622116
• Previous prime number is 5

### Basic properties

• Is Prime? no
• Number parity odd
• Number length 9
• Sum of Digits 27
• Digital Root 9

### Name

Name one billion nine hundred ninety-five million six hundred fourteen thousand nine hundred seventy-eight

### Interesting facts

• 1995614978 has 8 divisors, whose sum is 3421054272
• The reverse of 1995614978 is 8794165991
• Previous prime number is 7

### Basic properties

• Is Prime? no
• Number parity even
• Number length 10
• Sum of Digits 59
• Digital Root 5

### Name

Name one billion three hundred eighty-five million two hundred fifty-six thousand one hundred six

### Interesting facts

• 1385256106 has 8 divisors, whose sum is 2237721444
• The reverse of 1385256106 is 6016525831
• Previous prime number is 13

### Basic properties

• Is Prime? no
• Number parity even
• Number length 10
• Sum of Digits 37
• Digital Root 1