F(g(x)) = 2(5x+1)-6 = 10x+2-6 = 10x-4
g(f(x)) = 5(2x-6)+1 = 10x-30+1 = 10-29
10x-4>10-29 because from f(g(x)) you subtract less quantity.
The answer to your question is C. I hope that this is the answer that you were looking for and it has helped you.
Answer:
Malcom's family travel 15 miles per hour faster than Theo's
Step-by-step explanation:
<em>See attachment for complete question</em>
Given
Malcom's Family:

To determine the equation of Theo's family, we refer to the attached graph.
From the graph:


First, we determine the slope, m:




Next, we determine equation for Theo's family using:



Add 50 to both sides


So, we have the following:
--- For Malcom's family
This implies that Malcom's family travel at 65 miles per hour
--- For Theo's family
This implies that Theo's family travel at 50 miles per hour
The difference between this rates is:


<em>Which implies that Malcom's family travel 15 miles per hour faster than Theo's</em>
Slope intercept
y=mx+b
m=sllope
given
m=-5
find b
y=-5x+b
given
(2,5)
means x=2 and y=5 is true
5=-5(2)+b
5=-10+b
add 10
15=b
y=-5x+15
Answer:
Step-by-step explanation:
x-intercept -> when y = 0
f(x) x-intercept -> (1 , 0)
g(x) x-intercept -> (-1 , 0)
y-intercept -> when x = 0
f(x) y-intercept -> (0 , -1)
g(x) y-intercept -> (0 , 1)
The x-intercept of f(x) is greater than the x-intercept of g(x)
The y-intercept of g(x) is greater than the y-intercept of f(x)
So from the options, the answer is D. The x-intercept of f(x) is greater than the x-intercept of g(x)