Answer:-26.25
Step-by-step explanation:
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.
Step-by-step explanation:
The question needs to be more specific. But assuming it is 0.5y/(4/9), I will solve it.
This would make it 4.5y/4 =y + 3/8
- Multiply 4 to both sides
4.5y = 4y + 12/8
- Subtract 4y to both sides
0.5y = 12/8
- Divide both sides by 0.5
y = 3
Now plug in to check.
0.5(3)/(4/9)=3+3/8
Both equals 3.375!
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