Answer:
g(f(x)) = 2x - 6
f(g(x)) = 2x - 4
Step-by-step explanation:
g(f(x)) = 2x - 8 + 2
g(f(x)) = 2x - 6
f(g(x)) = 2(x + 2) - 8
f(g(x)) = 2x - 4
Easy. Okay. We are trying to find out how much of the pizza they both ate together. To do this we need a common denominator. A common denominator of 3/4 and 1/8 are 8. We don't need to convert 1/8 because it already has 8 as the denominator. So we convert 3/4 into a fraction that has a fraction with a denominator of 8. We multiply both the numerator and denominator by 2 which means 3/4 is equal to 6/8. Now all we have to do is 6/8 + 1/8 which we get 7/8. So the answer is 7/8. I hope this helps.
Answer:
The y-intercept of the function is: b=10
Step-by-step explanation:
Given the table
x y
1 8
2 6
3 4
4 2
Taking any two points to find the slope
The slope between (1, 8) and (2, 6) is:
We know that the slope-intercept form of the line equation is
where m is the slope and b is the y-intercept.
Substituting m=-2 and any point i.e. (1, 8) in the slope-intercept form of the line equation to find the y-intercept (b).
8 = -2(1) + b
8 = -2 + b
b = 8+2
b = 10
Thus, the y-intercept of the function is: b=10