Answer:
y=88
Step-by-step explanation:
Since f(g(x)) = g(f(x)) = x, hence the function f(x) and g(x) are inverses of each other.
<h3>Inverse of functions</h3>
In order to determine if the function f(x) and g(x) are inverses of each other, the composite function f(g(x)) = g(f(x))
Given the function
f(x)= 5-3x/2 and
g(x)= 5-2x/3
f(g(x)) = f(5-2x/3)
Substitute
f(g(x)) = 5-3(5-2x)/3)/2
f(g(x)) = (5-5+2x)/2
f(g(x)) = 2x/2
f(g(x)) = x
Similarly
g(f(x)) = 5-2(5-3x/2)/3
g(f(x)) = 5-5+3x/3
g(f(x)) = 3x/3
g(f(x)) =x
Since f(g(x)) = g(f(x)) = x, hence the function f(x) and g(x) are inverses of each other.
Learn more on inverse of a function here: brainly.com/question/19859934
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Answer:
Step-by-step explanation:
So we'll take the ratio of 3:8 to mean 3 to 8 , which is 11 total parts.
since we know that part, and we can see that the x coordinate goes from -15 to 7, which is a total of 22 and that y goes from 18 to 7, which is a total of 11 then we know that we can just break up each into their 3:8 ratios
3:8=11 for the y component
6:16=22 for the x component
so subtract 3 from the B point for the y or add 3 to the A point , either works here, Let's go from B so y = 10 (7+3) and x = 1 (7-6)
So a point at (1,10) will be on the line and at a ratio of 3:8 :)
Answer: X = 1
Step-by-step explanation:
25/50 = 4x/8
First, multiply both sides by 8, therefore, the 8 on the right side will be canceled out.
25*8/50 = 4x*8/8
25*8/50 = 4x
25*8 = 200
200 divided by 50 = 4
4 = 4x
After that, you just need to divide 4 on both sides, therefore, the 4 on the right side will cancel out.
4/4 = 4x/4
1 = x
X = 1
Hope I helped! :]
