What is the answer to solvefor f,f=3-xf(x)^{-1}(x) ?

The answer to solvefor f,f=3-xf(x)^{-1}(x) is f= 3/(1+x);\quad x\ne-1

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solvefor f,f=3-xf(x)^{-1}(x)

solve for

f, f = 3 - x f (x)^{- 1} (x)

f = \frac{3}{1 + x}; x \neq = - 1

Solution steps

f = 3 - x f x^{- 1} (x)

Simplify

3 - x f x^{- 1} (x) : 3 - x f

f = 3 - x f

Move

x f

to the left side

f + x f = 3

Factor

f + x f : f (1 + x)

f (1 + x) = 3

Divide both sides by

1 + x; x \neq = - 1

f = \frac{3}{1 + x}; x \neq = - 1

\frac{( x + 3 ) ^{2}}{9} + \frac{( y - 1 ) ^{2}}{25} - 1 = 0

\frac{( x - 4 ) ^{2}}{4} + \frac{( y + 2 ) ^{2}}{9} = 1

\frac{x ^{2}}{4} + \frac{y ^{2}}{4 - 16} = 1

\frac{x ^{2}}{2} + \frac{y ^{2}}{a - 16} = 1

x^{2} + 2 y^{2} - 8 y + 4 = 0

What is the answer to solvefor f,f=3-xf(x)^{-1}(x) ?
The answer to solvefor f,f=3-xf(x)^{-1}(x) is f= 3/(1+x);\quad x\ne-1