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:
Students:Adults = 118:94
Step-by-step explanation:
212-118=94
Answer:
357,340
Step-by-step explanation:
Locate the tens place:
357,3<u>3</u>5
Check the number to the right:
357,33<u>5 </u>
<u></u>
If the number is greater than or equal to 5, then we round up. If the number is less than or equal to 4, we round down.
The number next to the tens place is a '5'. We round up.
357,335 ≈ 357,340
Hope this helps.
Answer:
-1/5
Step-by-step explanation:
Answer:
It’s b.
Step-by-step explanation:
To get the slope of the line, you need to points. Two points you already have are (0,0) and (-5,6). So all you need to do is plug those points into slope equation (y1-y2 over x1-x2) 0-6 over 0+5 equals -6/5. The slope equals -6/5, and when you plug it into y=mx+b it equals y=-6/5x. Which is b.
