Answer:
we conclude that:
Step-by-step explanation:
Given
f(x) = x+9
g(x) = x² + 7x – 14
To determine
g(f(-5)) = ?
First, we need to find f(-5)
f(x) = x+9
substitute x = -5
f(-5) = (-5)+9
f(-5) = -5+9
f(-5) = 4
so
g(f(-5)) = g(4)
Now, we need to find g(4)
g(x) = x² + 7x – 14
substitute x = 4
g(4) = (4)² + 7(4) - 14
g(4) = 16 + 28 - 14
g(4) = 30
i.e.
g(f(-5)) = g(4) = 30
Therefore, we conclude that:
Answer:
-2
Step-by-step explanation:
Equate the expressions for y. This gives ...
... x - 1 = 2x + 1
Add -1-x to get ...
... -2 = x . . . . your value of x
The range of the function is all real numbers greater than 0.
As the domain values increase, the range values decrease.
Each successive output is the previous output divided by 3.
Answer:
A. (-6,18)
Step-by-step explanation:
The point (2,-2) and (-4,13) on the graph
First we frame an equation of the line using two points
y = mx + b where m is the slope and b is y intercept
slope = 
m = -2.5
Lets find out b
y = mx+b
y= -2.5x + b
Plug in (2,-2) and find out b
-2 = -2.5(2) + b
-2 = -5 + b (add 5 on both sides)
b = 3
so equation of line is y = -2.5 x + 3
Now we check with each option
(-6,18)
Plug in the x and y in our equation and check it
y = -2.5 x + 3
18 = -2.5(-6) + 3
18 = 15+3
18=18 true
So (-6,18) lies on the graph
