How do you solve for f in $t = \frac{1}{f}$ $t=1/f$ ?

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How do you solve for f in $t = \frac{1}{f}$ $t=1/f$ ?

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Answer 1 · 2016-06-14T02:54:10

$f = \frac{1}{t}$ $f=1/t$

Explanation:

Given,

$t = \frac{1}{f}$ $t=1/f$

Multiply both sides by $f$ $color(red)f$ .

$f (t) = f (\frac{1}{f})$ $color(red)fcolor(black)((t))=color(red)fcolor(black)((1/f))$

$f t = 1$ $ft=1$

Divide both sides by $t$ $t$ .

$\frac{f t}{t} = \frac{1}{t}$ $color(red)((color(black)(ft))/t)=color(red)(color(black)1/t)$

$f=color(green)(|bar(ul(color(white)(a/a)color(black)(1/t)color(white)(a/a)|)))$

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How do you solve for f in $t = \frac{1}{f}$ $t=1/f$ ?

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How do you solve for f in $t = \frac{1}{f}$ $t=1/f$ ?