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Nataly_w [17]
3 years ago
10

Find f(x) and g(x) so the function can be expressed as y = f(g(x)). y =2/x^(2) + 3

Mathematics
2 answers:
professor190 [17]3 years ago
5 0

One <em><u>possible answer</u></em> is:

f(x) = (2/x) + 3 and g(x) = x².

Explanation:

We are to write this equation as y = f(g(x)).  This means we want it to be a composite of functions; in f(x), we take the value of g(x) and use in place of x.

If we let g(x) = x², this means everywhere we see an x in f(x), we will replace it with x².  To make our equation y = 2/x² + 3, working backward we would substitute x for x²; this would give us f(x) = 2/x + 3.

LuckyWell [14K]3 years ago
4 0

We are asked to find f(x) and g(x) so the function can be expressed as y = f(g(x) such that y = y =2/x^(2) + 3. There are many possibilities here but we go to the simplest ones. we can have g (x) = x2 and f(x) is equal to 2/x + 3. 
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Part B.
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In the second equation, y = -2x - 2. We now substitute -2x - 2 for y in the first equation.

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