The function h (x) = startfraction 2 (x 3) over x endfraction is a result of the composition (g âˆ˜ f)(x). if g (x) = startfraction 2 over x endfraction, what is f(x)? f (x) = startfraction 1 over x 3 endfraction f (x) = startfraction x over x 3 endfraction f(x) = x 3 f (x) = startfraction x 3 over x endfraction

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07-09-2022
Mathematics

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The function h (x) = startfraction 2 (x 3) over x endfraction is a result of the composition (g âˆ˜ f)(x). if g (x) = startfraction 2 over x endfraction, what is f(x)? f (x) = startfraction 1 over x 3 endfraction f (x) = startfraction x over x 3 endfraction f(x) = x 3 f (x) = startfraction x 3 over x endfraction

Sagot :

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Tutorconsortium203idn Tutorconsortium203idn · Answer 1 · 2022-09-10T22:52:09-04:00

The value of the function f(x) = 2x/(2x + 3).

What is defined as the function?

A function is defined as a relationship between a set of inputs that each have one output.

A function is a connection between inputs in which each input is related to precisely one output.
Every function does have a domain and a co-domain, as well as a range.
In general, a function is denoted by f(x), where x is the input.

Now, as per the question, the functions are give as;

h(x) = (2x + 3)/x

g(x) = 2/x

And, g(f (x) ) = h(x) = (2x + 3)/x ......(equation 1)

To estimate the value of f (x); Substitute x for f(x)

g(f (x) ) = 2/f (x) ......(equation 2)

Equation (equation 1 and 2).

2/f (x) = (2x + 3)/x

f (x) = 2x/ (2x + 3)

Thus, the value of the function f (x) = 2x/ (2x + 3).

To know more about the function, here

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The correct question is-

The function h (x) = StartFraction 2 (x + 3) Over x EndFraction is a result of the composition (g compose f) (x). If g (x) = StartFraction 2 over x EndFraction, what is f(x)?

Sagot :

What is defined as the function?

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