If f(x) and g(x) are inverse functions of each other, which of the following shows the graph of f(g(x))? On a coordinate plane,
2 answers:
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Answer:
Step-by-step explanation:
Given
Required
Find f(x - 4)
Substitute x - 4 for x
Expand
Collect like terms
Answer:
x=2.125
y=0
C=19.125
Step-by-step explanation:
To solve this problem we can use a graphical method, we start first noticing the restrictions and
, which restricts the solution to be in the positive quadrant. Then we plot the first restriction
shown in purple, then we can plot the second one
shown in the second plot in green.
The intersection of all three restrictions is plotted in white on the third plot. The intersection points are also marked.
So restrictions intersect on (0,0), (0,1.7) and (2.215,0). Replacing these coordinates on the objective function we get C=0, C=11.9, and C=19.125 respectively. So The function is maximized at (2.215,0) with C=19.125.
