Are those the only answer choices?
Answer:
B. f(g(x)) = -10x + 8
Step-by-step explanation:
When evaluating f(g(x)), substitute what g(x) is in place of g(x).
So instead of
f(g(x))
the function would be:
f(-5x + 6).
Now all you have to do is evaluate this.
To evaluate this function, substitute the value inside the f(x) for all instances of x in the equation.
f(x) = 2x - 4
f(-5x + 6) = 2(-5x + 6) - 4
f(-5x + 6) = -10x + 12 - 4
f(-5x + 6) = -10x + 8
Therefore, f(g(x)) = -10x + 8.
Answer:
x = -5
Step-by-step explanation:
3x + 1 = 2x - 4
x + 1 = -4
x = -5
Answer <u>(assuming it can be put in point-slope format)</u>:
Step-by-step explanation:
You can write an equation of a line when knowing its slope and a line it passes through using point slope formula, 
.
1) First, find the slope of the equation. We know it has to be parallel to y = 3x + 2. Lines that are parallel have the same slope, thus the slope of y = 3x + 2 is the slope of the answer as well. y = 3x + 2 is in slope-intercept format, or 
. The coefficient of the x term, or 
, represents the slope - so, the slope must be 3.
2) Now, use point-slope formula,, to write the equation. Substitute , 
, and 
for real values.
The represents the slope, so substitute 3 for . The and represent the x and y values of a point the line crosses through. The line crosses through (2, -4), so substitute 2 for and -4 for . This gives the following answer:
