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f(x)=5xf(x)=5x and g(x)=x−3g(x)=x−3 Step 1 of 2 : Find the formula for (f+g)(x)(f+g)(x) and simplify your answer. Then find the domain for (f+g)(x)(f+g)(x). Round your answer to two decimal places, if necessary.

Respuesta :

Answer:

[tex](f+g)(x)=6x-3[/tex]

domain is (-∞,∞)

Step-by-step explanation:

[tex]f(x)=5x[/tex]

[tex]g(x)=x-3[/tex]

[tex](f+g)(x)=f(x)+g(x)[/tex]

to find f+g(x) we add both function

Substitute f(x) and g(x)

[tex](f+g)(x)=f(x)+g(x)[/tex]

[tex](f+g)(x)=5x+x-3=6x-3[/tex]

[tex](f+g)(x)=6x-3[/tex]

Domain is the set of x values

here there is no restriction for x

so domain is the set of all real numbers

domain is (-∞,∞)

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