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olga nikolaevna [1]
2 years ago
12

Please help Find f(f(x)) f(x)=x^2

Mathematics
1 answer:
wlad13 [49]2 years ago
4 0
F(f(x)) = x^4.

We know f(x) = x^2, which can be substituted into f(f(x)) like this: f(x^2) = (x^2)^2.

—Using the exponent rule, multiply the powers 2*2=4.
(x^2)^2 = x^4.
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An equally good approach would be to cancel the 6's, obtaining 2 (answer)

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Find the distance between the two points rounding to the nearest tenth (if necessary).
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Answer:

\boxed {\boxed {\sf d\approx 4.2}}

Step-by-step explanation:

The formula for distance is:

d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2

Where (x₁, y) and (x₂, y₂) are the points.

We are given (-6, 6) and (-3, 3). If we match the value and its corresponding variable, we see that:

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Substitute the values into the formula.

d= \sqrt{ (-3 - -6)^2+(3-6)^2

Solve inside the parentheses.

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d= \sqrt{(3)^2+ (-3)^2

Solve the exponents.

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d= \sqrt{9+9

Add.

d= \sqrt18

d= 4.24264069

Round to the nearest tenth. The 4 in the hundredth place tells us to leave the 2 in the tenth place.

d \approx 4.2

The distance between the two points is apprximately <u>4.2</u>

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