Respuesta :

ardni313

A function f (x) and g (x) then:

(f + g) (x) = x² - x + 6

Further explanation

Like the number operations we do in real numbers, operations such as addition, installation, division or multiplication can also be done on two functions.

Suppose a function f (x) and g (x) then:

(f + g) (x) = f (x) + g (x)

(f + g) (x) is a new function of the sum of f (x) and g (x)

Likewise with other function operations:

(f-g) (x) = f (x) - g (x)

(fg) (x) = f (x) x g (x)

(f / g) (x) = f (x) / g (x)

In addition to the above operations we can combine two functions using the function composition with the symbol o

(fog) (x) = f ((g (x))

Known on the question

f (x) = x² + 1

g (x) = 5 x

Summing the two functions f (x) and g (x):

(f + g) (x) = f (x) + g (x)

(f + g) (x) = x² + 1 + 5 - x

(f + g) (x) = x² - x + 6

Learn more

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Keywords: f (x) and g (x) functions, function operations, addition, subtraction, division, multiplication

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facundo3141592

For two given functions f(x) and g(x), the function (f + g)(x) is:

(f + g)(x) = f(x) + g(x)

Here we have the functions:

f(x) = x^2 + 1

g(x) = 5 - x

Now we want to find (f + g)(x), we can use the above expression:

(f + g)(x) = f(x) + g(x) = (x^2 + 1) + (5 - x)

(f + g)(x) = x^2 +1 + 5 - x = x^2 - x + 6

(f + g)(x) = x^2 - x + 6

Below, you can see the graphs of the 3 functions

f(x) is the green one, g(x) is the blue one, (f + g)(x) is the red one.

If you want to read more about this topic, you can see:

https://brainly.com/question/3400735

Ver imagen facundo3141592

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