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

is greater or equal to for all values of

EXPLANATION

Given and

If we plug in any value of   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.

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:

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: link

i believe it is c.y = 9x

rise over run. 9 units up over 1 unit right or 9/1