The best answer would be C.
Hope this helps:)
Answer:
Step-by-step explanation:
This is function composition. We will take the g function and plug it into the f function wherever we see an x. That will look like this when it's done but before it's simplified:
and that can be simplified down to

The domain of this function will be all real numbers EXCEPT for the one(s) that cause the denominator to become undefined. Set the denominator equal to 0 and solve for x:
5x - 4 = 0 so
5x = 4 and
x = 4/5
In other words, D = {x | x ≠ 4/5}
It is a function because your output is not repeating and the (x) is your domain (y) is your range
The minimum value for |x+5| is 0, so the minimum for f(x) is 0-8=-8.
There is no maximum for |x+5|, so neither does f(x).
Therefore the range of f(x)=|x+5|-8 is [-8,+inf) in interval notation, or
from -8 to infinity in words.
Answer:
(16 - 8 × 2 ÷ 4 + 6) ÷ 3 = 6
Step-by-step explanation:
The given expression is (16 - 8 × 2 ÷ 4 + 6) ÷ 3
We will solve this expression by using BODMAS rule,
B - Bracket (Parenthesis)
O - Order (exponents)
D - Division
M - Multiplication
A - Addition
S - Subtraction
(16 -
× 2 ÷ 4 + 6) ÷ 3
We will solve the expression inside the parenthesis first followed up by the exponents,
(16 -
× 2 ÷ 4 + 6)
= (16 - 8 × 2 ÷ 4 + 6)
Then Divide,
= (16 - 8 ×
+ 6)
Then multiply,
= (16 - 4 + 6)
Further addition,
= (22 - 4 )
At last subtract,
= (18)
Now put the solution of the parentheses in the expression,
= (18) ÷ 3
= 6
Therefore, solution of the given expression will be 6.