What is the answer to -f(a)=(4x-1)/(7x+2) ?

The answer to -f(a)=(4x-1)/(7x+2) is x=-(-1+2f(a))/(4+7f(a));\quad \ne True for all a

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-f(a)=(4x-1)/(7x+2)

- f (a) = \frac{4 x - 1}{7 x + 2}

x = - \frac{- 1 + 2 f ( a )}{4 + 7 f ( a )}; \neq = True for all a

Solution steps

- f (a) = \frac{4 x - 1}{7 x + 2}

Multiply both sides by

7 x + 2

- f (a) (7 x + 2) = 4 x - 1

Expand

- f (a) (7 x + 2) : - 7 x f (a) - 2 f (a)

- 7 x f (a) - 2 f (a) = 4 x - 1

Move

2 f (a)

to the right side

- 7 x f (a) = 4 x - 1 + 2 f (a)

Move

4 x

to the left side

- 7 x f (a) - 4 x = - 1 + 2 f (a)

Factor

- 7 x f (a) - 4 x : - x (7 f (a) + 4)

- x (7 f (a) + 4) = - 1 + 2 f (a)

Divide both sides by

- (7 f (a) + 4); \neq =

True for all

a

x = - \frac{- 1 + 2 f ( a )}{4 + 7 f ( a )}; \neq = True for all a

\frac{6}{2} = \frac{4}{P}

2 = \frac{2}{3} - \frac{5}{x}

23 = x^{2} + (\frac{1}{x ^{2}})

\frac{x}{x - 2} + \frac{3}{x + 4} = 2

1 - \frac{x}{x + 2} = \frac{x}{x - 3}

What is the answer to -f(a)=(4x-1)/(7x+2) ?
The answer to -f(a)=(4x-1)/(7x+2) is x=-(-1+2f(a))/(4+7f(a));\quad \ne True for all a