SOLUTION: if f:A to B where A,B⊂R . f(x)= (1-2x)/(x-5) is a FUNCTION. FIND IT'S INVERSE. NB- i think it's not a function because input 5 will give no output .but the domain of the fu

Algebra ->  Functions -> SOLUTION: if f:A to B where A,B⊂R . f(x)= (1-2x)/(x-5) is a FUNCTION. FIND IT'S INVERSE. NB- i think it's not a function because input 5 will give no output .but the domain of the fu      Log On


   



Question 1043440: if f:A to B where A,B⊂R . f(x)= (1-2x)/(x-5) is a FUNCTION. FIND IT'S INVERSE.
NB- i think it's not a function because input 5 will give no output .but the domain of the function doesn't say anything about 5. if A WOULD BE R-{5} THEN IT WOULD BE A FUNCTION. I AM NOT SURE About it. what does A⊂R INDICATE HERE.HENCE WILL INVERSE BE POSSIBLE ?

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
f(x)= (1-2x)/(x-5) is a FUNCTION. FIND IT'S INVERSE.
1st:: Interchange x and y to get:
x = (1-2y)/(y-5)
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2nd:: Solve for "y"::
xy-5x = 1-2y
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2y+xy = 5x+1
y(2+x) = (5x+1)
y = (5x+1)/(x+2)
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That is the inverse.
Cheers,
Stan H.
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