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: 8
Step-by-step explanation:
We are going from a smaller triangle to a larger triangle, so the scale factor is greater than 1.
We know scale factor = (image)/(preimage), so the scale factor is 32/4 = 8
Answer:
7. 80 miles
8. F
Step-by-step explanation:
7. Jorge leaves 2 hours early, and is going 20 miles per hour. So before Marcos starts going, Jorge has gone 40 miles (2*20). Then, 1 hour later, Jorge is at 60 miles and Marcos is at 40 (because he goes 40 miles per hour in his car). Another hour later, Jorge is at 80 (60+20) and Marcos is at 80 as well (40 + 40). They will both have gone 80 miles when Marcus catches up.
8. You want to get <em>a</em> isolated.
A = h/2(a + b)
First, multiply both sides of the equation by the reciprocal of h/2.
2A/h = a + b
Then, subtract b from both sides.
2A-b/h = a
Answer:
21
Step-by-step explanation:
