y = x² - 2x - 8
Swap x and y to find the inverse:
x = y² - 2y - 8
Now get y by itself:
y² - 2y = x + 8
(Complete the square):
y² - 2y + 1 = x + 9
(y - 1)² = x + 9
y - 1 = ±√(x + 9)
y = 1 ±√(x + 9)
Then there are two functions:
f(x) = 1 - √(x + 9)
and
f(x) = 1 + √(x + 9)
but an inverse can only be one function.
The functions above are a mirror image of the original function, but it is not an inverse (graph these functions).
There is no inverse.
Everything above is completely wrong. This is the inverse: (x+8)/2
I don't know where the x² came from in the first answer, but to work out the question as asked:
if y=2x-8
y+8 = 2x
(y+8)/2 = x
so, as the above answer stated, (x+8)/2 is the answer.
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do you mean y = 2x + 8 ? the inverse is y = (x - 8)/2
These are the for inverse operations:Multiplications inverse is divisionDivisions inverse is multiplicationAdditions inverse is subtractionSubtractions inverse is addition
1x16 2x8 and 4x4
There is no inverse for zero.
The inverse of sin inverse (4/11) is simply 4/11.