Inverse of y=14x2 show derivations

Mathematics

1 answer:

Rudik [331]10 months 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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Y(a -b) =c(y+ a); y

Ksivusya [100]

Answer:

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Step-by-step explanation:

y(a - b) = c(y + a)

Distribute

ay - by = cy + ac

Subtract cy from both sides

ay - by - cy = ac

Factor out y

y(a - b - c) = ac

Divide both sides by (a - b - c)

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1 year ago

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swat32

Answer:

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$\text{Hello there!}\\\\\text{Solve for h:}\\\\A=\frac{1}{1}bh\\\\\text{Multiply both sides by 1}\\\\A=1bh\\\\\text{Divide both sides by 1b}\\\\\frac{A}{1b}=h\,\,or\,\,\frac{A}{b}=h\\\\\boxed{h=\frac{A}{b}}$