Answer: 0.64, 1/2, 0.23, 0.13
Step-by-step explanation:
Convert 1/2 to a decimal, 0.5, and then order them by their tenths from greatest to least.
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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In the equation F=kx, F is the force, k is the spring constant, and x is the displacement. Plug in and solve:
F=0.3(1.5)
F=0.45N
Hope this helps!!
Step-by-step explanation:
Distance = rate x time
distance = 60 miles per hour x 7 1/2 hours
distance = 450 miles
