What is the answer to f^{-1}(1)=2 ?

The answer to f^{-1}(1)=2 is f= 1/2

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f^{-1}(1)=2

f^{- 1} (1) = 2

f = \frac{1}{2}

Decimal Notation

f = 0.5

Solution steps

f^{- 1} (1) = 2

Refine

\frac{1}{f} = 2

Multiply both sides by

f

1 = 2 f

Switch sides

2 f = 1

Divide both sides by

2

f = \frac{1}{2}

Verify Solutions

Find undefined (singularity) points:

f = 0

Combine undefined points with solutions:

f = \frac{1}{2}

\frac{1}{7} = \frac{1}{16 + x}

\frac{3 x}{x + 2} = 6 - \frac{6}{x + 2}

\frac{5}{x - 1} = \frac{7}{x}

\frac{2}{11} = \frac{9}{r + 7}

\frac{15}{y} = \frac{10}{26}