Leiff goes online to buy a new video game. He finds a site that currently has a promotion of 15% off on all orders over $50. Lei
2 answers:
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a. We're looking for such that
b. Integrating with respect to will make things easier.
(where we take the positive square root because we know )
Now we want to find such that
Answer:
<em>f(x) and g(x) and not inverse functions</em>
Step-by-step explanation:
Given
Required
Determine f(g(x))
Determine g(f(x))
Determine if both functions are inverse:
Calculating f(g(x))
Expand Brackets
Calculating g(f(x))
Expand Brackets
Checking for inverse functions
Represent f(x) with y
Swap positions of x and y
Subtract 9 from both sides
Divide through by 3
Take square root of both sides
Represent y with g(x)
Note that the resulting value of g(x) is not the same as
<em>Hence, f(x) and g(x) and not inverse functions</em>