Answer:
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Step-by-step explanation:
Answer:
<em>Thus, f and g are inverse functions</em>
Step-by-step explanation:
<u>Inverse Functions</u>
If two functions f(x) and g(x) are inverses, then it follows that:
Or:
We are given
Let's test if they are inverse functions:
Simplifying:
Now find:
Operating:
Thus, f and g are inverse functions
Power of a power as applied to exponents is the following:
The power of a power is the product of the exponents, or
(x^a)^b = x^(ab)
For example
(5^2)^3=5^(2*3)=5^6=15625
Divide the perimeter by 2, this will give you the sum of one length and one width.
68/2 = 34 yards
Now the length is 10 yards more, so subtract 10 from the 34 and divide by 2 again:
34 - 10 = 24
24 /2 = 12
The width is 12 yards.
The length is 12 + 10 = 22 yards.
David's total income is ($8/hr)x + ($11/hr)y.
This problem requires us to write and solve an inequality:
8x + 11(15)<$200
Solving for x: 8x < $200-$165, or 8x < $35. Strictly speaking, x = 4.375 hrs, but if we assume that David must work an integer # of hours, then x=5 full hours.
