Given (x)=2x and g(x)=x + 5 find (fog)(x )

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semsee45 semsee45 · Answer 1 · 2022-08-19T11:15:56+02:00

Answer:

[tex](f \circ g)(x)=2x+10[/tex]

Step-by-step explanation:

Given equations:

[tex]\begin{cases}f(x)=2x\\g(x)=x+5\end{cases}[/tex]

Function composition is an operation that takes two functions and produces a third function.

The composite function (f o g)(x) means to substitute the function g(x) in place of the x in function f(x).

[tex]\begin{aligned}\implies (f \circ g)(x) & = f[g(x)]\\& = f(x+5)\\& = 2(x+5)\\& = 2x+10\end{aligned}[/tex]

Learn more about composite functions here:

https://brainly.com/question/28033255

https://brainly.com/question/28010848

Sprnt Sprnt · Answer 2 · 2022-08-19T11:17:33+02:00

Answer:

(f∘g)(x)=2x+10.

Step-by-step explanation:

When finding (f∘g)(x) composite of f and g, we take the argument of function g and insert it as if it was a value of x in f(x). Let's do the process:

1. Write the f(x) expression.

f(x)=2x

2. Write the substitution.

(f∘g)(x)=f(g(x))=2(x + 5)

3. Simplify.

(f∘g)(x)=f(g(x))= 2x+10

4. Express a result.

(f∘g)(x)=2x+10.

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