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Katyanochek1 [597]
3 years ago
11

F(x) = x2 + 1 g(x) = 5 – x (f + g)(x) =

SAT
2 answers:
klio [65]3 years ago
7 0

<em>A function f (x) and g (x) then:</em>

<em>(f + g) (x) = x² - x + 6</em>

<em>Further explanation</em>

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

<h3><em>Learn more</em></h3>

F (x) and g (x) functions

brainly.com/question/11253259

function h (x) = f (x) ∘ g (x)

brainly.com/question/4545143

Find the function rule for g (x)

brainly.com/question/4062302

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

bonufazy [111]3 years ago
3 0

x2 – x + 6

hope this helps ;)

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