1. √48 → √16 * √3 = 4√3
3. √12 → √4 * √3 = 2√3
7. √125 → √25 * √5 = 5√5
8. √20 → √4 * √5 = 2√5
9. √18 → √9 * √2 = 3√2
10. √32 → √16 * √2 = 4√2
11. √50 → √25 * √2 = 5√2
12. √27 → √9 * √3 = 3√3
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: $210.75
Explanation: You multiply the price of the object by how many they buy.
So for the beams you calculate 3 x 45.25 and get 135.75. For the screws you multiply 6 x 12.50 and that equals 75. Then, for the total price you add the two together, so 135.75 + 75 = 210.75
Another way to do it is (3 x 45.25) + (6 x 12.50) = 210.75
Answer:
285
Step-by-step explanation:
9 = 7 + 2¹
13 = 9 + 2²
29 = 13 + 2⁴
285 = 29 + 2⁸
