4 years ago

Three equivalent ratios to 8:10

Mathematics

1 answer:

galben [10]4 years ago

4 0

Three equivalent ratios:
16:20
24:30
32:40

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F(x)8x^2 find its inverse

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Answer:

$f^{-1}(x)=\frac{1}{2}\sqrt{\frac{x}{2}}$

Step-by-step explanation:

Given:

The function is given as;

$f(x)=8x^2$

In order to find the inverse, the steps to be followed are:

Step 1: Replace $f(x)$ by $y$ . This gives,

$y=8x^2$

Step 2: Switch 'y' by 'x' and 'x' by 'y'. This gives,

$x=8y^2$

Step 3: Solve for 'y'.

Dividing both sides by 8, we get:

$\frac{x}{8}=\frac{8y^2}{8}$

$\frac{x}{8}=y^2$ or

$y^2=\frac{x}{8}$

Taking square root on both sides, we get:

$\sqrt{y^2}=\sqrt{\frac{x}{8}}$

$y=\frac{1}{2}\sqrt{\frac{x}{2}}$

Now, we replace 'y' by $f^{-1}(x)$ .

Therefore, the inverse of the given function is:

$f^{-1}(x)=\frac{1}{2}\sqrt{\frac{x}{2}}$

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What is 10 to the power of 7?

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