Answer:
f(x) = 2x+3
g(x) = 1/x^2
Step-by-step explanation:
There are many ways you can write the given expression as a function of a function. In general, you want to think about the operations that are performed on the variable, then consider which operations might be performed first, and what operations might be performed on the results of the first ones.
When the given expression is evaluated, you ...
• square the variable
• divide 2 by the result
• add 3 to that result
It is reasonable to divide this list into two parts, then make one function do one part of the list and the other function do the other part.
In our selection of f() and g() above, we have chosen to make g(x) be ...
• square the variable
• find the reciprocal of that result
and we have defined f(x) to be
• multiply that result by 2
• add 3.
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You will note that multiplying the reciprocal by 2 is the same as dividing 2 by the result.
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Our f(x) and g(x) are ...
g(x) = 1/x^2
f(x) = 2x +3
