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serg [7]
3 years ago
15

Given the following functions, find and simplify (f • g)(x) f(x)=—x+3 g(x)=-x-1

Mathematics
1 answer:
Hitman42 [59]3 years ago
5 0

Answer:

(f\circ g)(x)= x + 4

Step-by-step explanation:

<u>Composite Function</u>

Given f(x) and g(x) as real functions, the composite function (f\circ g)(x) is defined as:

(f\circ g)(x)=f(g(x))

It can be found by substituting g into f.

We are given the functions:

f(x) = -x + 3

g(x) = -x -1

Find

(f\circ g)(x)=f(g(x))= - (-x -1) + 3

Removing parentheses:

(f\circ g)(x)= x + 1 + 3

Simplifying:

\mathbf{(f\circ g)(x)= x + 4}

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