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Neporo4naja [7]
3 years ago
12

A student writes the statement

Mathematics
1 answer:
Katen [24]3 years ago
3 0

4. vertical angles are congruent

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AnnyKZ [126]
From the graph we can see that the line is passing through following two points:

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wolverine [178]

Answer:

We know that:

H(x) = |1 - x^3|

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We want to write H(x) as  f( g(x) ) , such that for two functions:

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f( g(x) ) = |1 - x^3|

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g(x) = x^3 + 2

And f(x) as:

f(x) = | A - x|

Where A can be a real number, we need to find the value of A.

Then:

f(g(x)) = |A - g(x)|

and remember that g(x) = x^3 + 2

then:

f(g(x)) = |A - g(x)| = |A - x^3 - 2|

And this must be equal to:

|A - x^3 - 2| =  |1 - x^3|

Then:

A = 3

The functions are then:

f(x) = | 3 - x|

g(x) = x^3 + 2

And H(x) =  f( g(x) )

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