What is the answer to solvefor x,f^{-1}(3)=2 x/5-1 ?

The answer to solvefor x,f^{-1}(3)=2 x/5-1 is x=(15+5f)/(2f)

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solvefor x,f^{-1}(3)=2 x/5-1

solve for

x, f^{- 1} (3) = 2 \frac{x}{5} - 1

x = \frac{15 + 5 f}{2 f}

Solution steps

f^{- 1} (3) = 2 \cdot \frac{x}{5} - 1

Switch sides

2 \cdot \frac{x}{5} - 1 = f^{- 1} 3

Simplify

2 \cdot \frac{x}{5} - 1 : \frac{2 x}{5} - 1

Simplify

f^{- 1} (3) : \frac{3}{f}

\frac{2 x}{5} - 1 = \frac{3}{f}

Move

1

to the right side

\frac{2 x}{5} = \frac{3}{f} + 1

Multiply both sides by

5

2 x = \frac{15}{f} + 5

Divide both sides by

2

x = \frac{15 + 5 f}{2 f}

x + \frac{9}{50} x = 83

z, p^{3} + q^{3} = 27 z

a, \frac{6}{9} a = \frac{b}{6}

x, x - 40 y - 240 = 0

p, r = p + q - p + 10

What is the answer to solvefor x,f^{-1}(3)=2 x/5-1 ?
The answer to solvefor x,f^{-1}(3)=2 x/5-1 is x=(15+5f)/(2f)