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1 answer:
Answer:
Option (1).
Step-by-step explanation:
Given functions are f(x) = and g(x) = x - 2
(fog)(x) = f[g(x)]
By substituting g(x) in place of x in the function f(x),
f[g(x)] =
Graph of the function f[g(x)] will have,
Vertical asymptotes : x = 2
Horizontal asymptotes : y = 0
And no oblique asymptotes.
Out of four options graph number (1) matches the given characteristics of the function.
Therefore, graph (1) will be the answer.
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Linear programming which shows the best investment strategy for the client is Max Z=0.12I +0.09B and subject to constraints are :I+ B<=25000,
0.005 I +0.004B<=250.
Given maximum investment client can make is $55000, annual return= 9%, The investment advisor requires that at most $25,000 of the client's funds should be invested in the internet fund. The internet fund, which is the more risky of the two investment alternatives, has a risk rating of 5 per thousand dollars invested. the blue chip fund has a risk rating of 4 per thousand dollars invested.
We have to make a linear programming problem.
Let
I= Internet fund investment in thousands.
B=Blue chip fund investment in thousands.
Objective function:
Max Z=0.12I+0.09B
subject to following constraints:
Investment amount: I+ B<=25000
Risk Rating: 5/100* I+4/100*B<=250 or 0.005 I +0.004B<=250
I,B>=0.
Hence the objective function is Max Z=0.12 I+ 0.09 B.
Learn more about LPP at brainly.com/question/25828237
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