Inverse of y=14x2 show derivations

Mathematics

1 answer:

Rudik [331]1 year ago

4 0

<h2>Answer:</h2>

$f^{-1} (x)=\sqrt{\frac{x}{14}}$ .

<h2>Step-by-step explanation:</h2>

<h3>1. Write the expression.</h3>

$y=14x^2$

<h3>2. Substitute y for x, and x for y.</h3>

$x=14y^{2}$

<h3>3. Solve for y.</h3>

$14y^{2}=x\\ \\y^{2} =\frac{x}{14} \\ \\y=\sqrt{\frac{x}{14}}$

<h3>4. Express your result.</h3>

$f^{-1} (x)=\sqrt{\frac{x}{14}}$ .

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