Answer:
slope = - 4
Step-by-step explanation:
Calculate the slope m using the slope formula
m = 
with (x₁, y₁ ) = - 1, 22) and (x₂, y₂ ) = (1, 14) ← 2 ordered pairs from the table
m =
=
= - 4
24∠-6x+12
-12 -12
12∠-6x
---- ----
-6 -6
x∠-2
Answer:
1-6 2-12 3-18 4-24. 10-16 20-32 30-48
Step-by-step explanation:
Answer:
d. (g*f)(-9)=-1
Step-by-step explanation:
In this problem, we have two functions:

and

The notation:
(f*g)(x) represents the composite function of f and g; this can be calculated by using the output of g(x) as input for f(x), in other words:

Simiarly, the notation (g*f)(x) can be calculated by using the output of f(x) as input for g(x), mathematically:

Using the definitions of f(x) and g(x), we can derive an expression for the two composite functions here:

And

Now we can analyze the given statements:
a. (f*g)(2)=2 --> FALSE, because 
b. (g*f)(2)=0 --> FALSE, because 
c.(f*g)(9)=1 --> FALSE, because 
d. (g*f)(-9)=-1 --> TRUE, because 
Answer:

Step-by-step explanation: