Respuesta :

The range of the functions f(x) = |x| 9 and g(x) = –6 then (f+g)(x) will be equal  to (f+g)(x)[tex]\geq[/tex]3 for all the values of x.

What is function?

Function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

It is given that

[tex]f(x)=|x|+9[/tex]

[tex]g(x)=-6[/tex]

So now

[tex](f+g)(x)=|x|+9-6=|x|+5[/tex]

So from the above equation, we can see that (f+g)(x) describes the range  (f+g)(x)[tex]\geq[/tex]3

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