Answered

if f(x)=|x|+9 and g(x)= -6, which describes the value of (f + g)(x)?

(f + g)(x) greater equal to 3 for all values of x
(f + g)(x) less equal to 3 for all values of x
(f + g)(x) less equal to 6 for all values of x
(f + g)(x) greater equal to 6 for all values of x

Answer :

kudzordzifrancis

ANSWER

[tex](f+g)(x)[/tex] is greater or equal to [tex]3[/tex] for all values of [tex]x[/tex]


EXPLANATION

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


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


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


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


If we plug in any value of  [tex]x[/tex] in to this function, we get a value that is greater than or equal to 3.

See graph in the attachment.

Therefore the correct answer is A.





${teks-lihat-gambar} kudzordzifrancis
abidemiokin

Due to the modulus of x which is positive, hence (f + g)(x) is greater and equal to 3 for all values of x

Given the following functions:

  • f(x)=|x|+9 and g(x)= -6

Taking the sum of the functions:

f(x) + g(x) = |x|+9  + (-6)

f(x) + g(x) =  |x|+9 - 6

f(x) + g(x) =   |x|+3

Due to the modulus of x which is positive, hence (f + g)(x) is greater and equal to 3 for all values of x

Learn more on sum of functions here: https://brainly.com/question/17431959

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