What is the answer to 0.1= 1/(1/2 t+1) ?

The answer to 0.1= 1/(1/2 t+1) is t=18

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0.1= 1/(1/2 t+1)

0.1 = \frac{1}{\frac{1}{2} t + 1}

t = 18

Solution steps

0.1 = \frac{1}{\frac{1}{2} t + 1}

Simplify

\frac{1}{\frac{1}{2} t + 1} : \frac{2}{t + 2}

0.1 = \frac{2}{t + 2}

Multiply both sides by

t + 2

0.1 (t + 2) = 2

Divide both sides by

0.1

t + 2 = 20

Move

2

to the right side

t = 18

Verify Solutions

Find undefined (singularity) points:

t = - 2

Combine undefined points with solutions:

t = 18

\frac{4 x}{x + 2} = \frac{5 x}{3 x + 1}

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

2 x = \frac{2}{x}

t - \frac{4}{t} = 3

\frac{8}{3 x - 6} = \frac{3 x}{x - 2}