Answer:
Natalia's work is wrong.
Step-by-step explanation:
Natalia divided a decimal number by an entire number. Since division is a operation derived from multiplication, the best approach to check if work was good is multiplying the given result by denomination, that is:
1)
Given.
2)
Definition of addition.
3)
Distributive property.
4)
Definitions of multiplication and decimal number.
5)
Definition of division/Associative property.
6)
Associative property.
7)
Definition of multiplication.
8)
Definition of divsion.
9)
Defintion of decimal number.
10)
Definition of addition/Result
Natalia's work is wrong.
2(13) = 26
-3(6) = -18
26 - 18
=8
so the answer is A
(f ° g) (x) means the composition of the two functions in this order f (g (x) )
So, given f(x) = - 9x + 9 and g(x) = √(x + 1), you must do this:
f(g(x)) = - 9 [ g(x) ] + 9 = - 9 [√(x+1) ] + 9 => f(g(24) = - 9 √(24 + 1) + 9 = - 9√25 + 9 =
= -9(5) + 9 = -45 + 9 = - 36
Answer: - 36
I think the answer is the third one