For this case we have the following functions:
We must find 
. For definition of composition of functions we have to:
So:
Then, for any value of "x", the composite function has a value of
.
Thus,
cannot be evaluated, it will always be obtained 
ANswer:
For any value of "x", the composite function has a value of
The perpendicular line would have a slope of 1/3.
Perpendicular lines have opposite and reciprocal slopes.
To do the opposite, take the original slope (-3) and change the sign (3).
To do the reciprocal, take the slope we changed (3) and flip it as a fraction (1/3).
This gives us a new slope of 1/3.
Answer:
13
Step-by-step explanation:
f(x)= -4x + 5
Let x = -2
f(-2) = -4(-2) +5
= 8+5
= 13
Answer:
x -5y = -20
Step-by-step explanation:
One way to write the equation for a line through two points is to use the slope formula. The slope is the same everywhere on a line, so the slope between the given points is the same as the slope between one of them and the general (x, y) point.
m = (y2 -y1)/(x2 -x1)
m = (5 -3)/(5 -(-5)) = (y -3)/(x -(-5))
2/10 = (y -3)/(x +5)
x +5 = 5(y -3) . . . . . . . multiply by 5(x+5)
x -5y = -20 . . . . . . rearranged to standard form
Answer:
y = -3x + 7
Step-by-step explanation:
First calculate the slope which I will assign the variable m
slope = m = (y2-y1)/(x2-x1)
m = (-8-1)/(5-2)
m = -9/3
m = -3
Next, using the slope we just found, pick either point and plug into the point slope equation: (I like the first point better so I am going to use that one)
y-y1 = m(x-x1)
y-1 = -3(x-2)
y-1 = -3x + 6
y = -3x + 7
