If f(x)=5x+7 and g(x)=√x+6, which statement is true?

a.) 9 is not in the domain of f ° g
b.) 9 is in the domain of f ° g

Statement b is true; statement a is false

Step-by-step explanation:

Best to write out (f o g)(x) and then determine its domain:

"(f o g)(x)" indicates that g(x) is used as the input to f(x):

(f o g)(x) = 5(√x+6) + 7, or 5√x + 30 + 7, or 5√x + 37.

The domain of this composite function is [0, infinity).

Thus, statement b is true:  "9 is part of the domain of (f o g)(x) = 5(√x+6) + 7"

a

step-by-step explanation:

when a number is between two straight lines it means the absolute value.

to find absolute value you need to know how many numbers is that number away from 0.

when finding absolute value the number will always come out positive

so absolute value of -3 is 3

absolute value of 3/2 is 3/2

absolute value of -2 is 2

absolute value of 3.5 is 3.5

absolute value of -1 is 1

now put these numbers in order:

a)   |-1|, |3/2|, |-2|, |-3|, |3.5|

answer: 94

step-by-step explanation: 79+91+92+94+94 = 450 divided by 5 (since there are 5 number that are being added) = 90