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Function m is defined as m ( x ) = g ( h ( x ) ) . write the formula for m .

User Cbroughton
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Final answer:

To write the formula for function m, defined as m(x) = g(h(x)), you substitute h(x) into g. The expression shows that h(x) is evaluated first, then applied to g(x) to find m(x).

Step-by-step explanation:

The student is asking about the composition of two functions, where function m is defined as m(x) = g(h(x)). In this context, to write the formula for m, you need to know the explicit formulas for the functions g and h. Once you have those, you can substitute h(x) into the function g to get the composition. The representation m(x) = g(h(x)) tells you that for any input x, you first calculate the value of h(x) and then use this result as the input for the function g to determine the value of m(x).

For example, if h(x) = x+3 and g(x) = 2x, then the composition m(x) = g(h(x)) would be written as m(x) = g(x+3) = 2(x+3).

User Ilya Serbis
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