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:
162 km per hour
Step-by-step explanation:
Hi!
Speed=Distance x Time
So... 3 x 54 = 162
Hope this helps :)
The inverse of the function is h(x)=4x+48
The number in the ones place is 1.
1/2DF = EF
1/2(2y) = 8y - 3
y = 8y - 3
- Subtract 8y from both sides.
-7y = -3
y = 3/7
- Plug 3/7 for y into DF and EF.
DF: 2(3/7) = 6/7
EF: 8(3/7) - 3 = 24/7 - 3 = 3/7
EF = DE because they are bisected, so DE = 3/7