Solve (f(x) = \frac{1}{x 1} 1)

Evaluate

f x = \frac{1}{x \times 1} \times 1

Simplify

More Steps

f x = \frac{1}{x}

Cross multiply

f x \times x = 1

Simplify the equation

f x^{2} = 1

Divide both sides

\frac{f x ^{2}}{f} = \frac{1}{f}

Divide the numbers

x^{2} = \frac{1}{f}

Take the root of both sides of the equation and remember to use both positive and negative roots

x = \pm \frac{1}{f}

Simplify the expression

More Steps

x = \pm \frac{f}{∣ f ∣}

Separate the equation into 2 possible cases

x = \frac{f}{∣ f ∣} x = - \frac{f}{∣ f ∣}

Calculate

{f \neq = 0 x = - \frac{f}{∣ f ∣} {f \neq = 0 x = \frac{f}{∣ f ∣}

Solution

f \neq = 0, x = - \frac{f}{∣ f ∣} f \neq = 0, x = \frac{f}{∣ f ∣}

Solve the equation