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Consider functions f and g. f(x) = 8/x+2 g(x) = 4x^2 + 2 Evaluate the function composition. (f ° g)(-1)= _____

Respuesta :

Answer: 1

Step-by-step explanation: you plug in -1 as x for g(x) and you use the answer from that (which is 6) and plug that into f(x)

The value of composite function (fog)(-1) = 10/3.

What is composite function?

A function whose values are obtained from two given functions by first applying one to an independent variable and then using the result to apply the second, and whose domain is made up of those independent variable values for which the first function's result falls within the second function's domain.

The two functions are given below:

f(x) = 8/x+2

g(x) = 4x² + 2

To evaluate the composite value  (fog)(-1), first solve for g(-1).

Put x = -1 in 'g' function

g(x) = 4x² + 2

g(x) = 4(-1)² + 2

      = 4 + 2

g(x)  = 6

Now, substitute the value of g(6) in 'f' function

f(x) = 8/x+2

f(6) = 8/6 + 2

     = 10/6

Therefore, the composite value (fog)(-1) = 10/3.

To know practical use of composite function, here

https://brainly.com/question/27891702

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