F(g(x)) = [(-7x-8)/(x-1) - 8} / [(-7x - 8)/(x-1) + 7] =
[(-7x - 8 - 8(x-1)) / (x-1)] / [(-7x - 8 + 7(x-1)) / (x-1)] = (-15x) / (-15) = x.
g(f(x)) = [-7*(x-8)/(x+7) - 8] / [(x-8)/(x+7) - 1] =
[(-7x + 56 -8*(x+7)) / (x+7)] / [(x - 8 - (x + 7)) / (x+7)] = (-15x) / (-15) = x.
So since f(g(x)) = g(f(x)) = x we can conclude that f and g are inverses.
Answer:
25 cups
Step-by-step explanation:
Cause I’m right lol
Answer:
y = x + 6
Step-by-step explanation:
y = mx + b where m = slope and b = y-intercept (where the line crosses the y axis)
To determine the slope (m) take the difference in y value divided by the difference in x value (also called rise over run, or rise/run)
The difference in y value ( or Δ y) in this graph is from 6 to 10, or 4; the difference in x value ( or Δ x) is from 0 to 4, or 4. So since slope = Δy ÷ Δx, the slope is 1.
So we have y = (1)x + b, and b is where the line intercepts the y axis which is at (0,6), so the equation is y = x + 6.
Answer:
The answer is A
Step-by-step explanation:
The first thing to do is see which two lengths of EF and FG equals EG which is 23. If you add together B's options you get -12 and if you add C's options, you get 77. So that leaves us with the options of A and D. From there, just plug in each value of x and see which one gets you the right values. Hope this helps