Lulu wants to get fit. She started with 50 laps a day and she intends to add 10 laps every week. Write a mathematical expression
1 answer:
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Answer:
The given functions are not same because the domain of both functions are different.
Step-by-step explanation:
The given functions are
First find the domain of both functions. Radicand can not be negative.
Domain of f(x):
This is possible if both numerator or denominator are either positive or negative.
Case 1: Both numerator or denominator are positive.
So, the function is defined for x≥1.
Case 2: Both numerator or denominator are negative.
So, the function is defined for x≤-1.
From case 1 and 2 the domain of the function f(x) is (-∞,-1]∪[1,∞).
Domain of g(x):
So, the function is defined for x≥1.
So, domain of g(x) is [1,∞).
Therefore, the given functions are not same because the domain of both functions are different.
Solution :
For the bigger rectangle
Width of bigger rectangle = W
Length of bigger rectangle, L = 2W
For the smaller rectangle
Width , w = W+4
Length, l = L = 2W
Area, a =120
Now we know,
Area = length x width
We get, either (rejecting)
or
∴ length of the bigger rectangle,
= 2(6)
= 12 m
Length of the smaller rectangle,
= 2(6)
= 12 m
Hence, the length of the two gardens is 12 m.