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09 Jul 2019, 23:20
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B
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
45%
(medium)
Question Stats:
73% (02:42) correct
28%
(02:30)
wrong
based on 360
sessions
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If f(x) =3x for x>=15, f(x) = 7x for x<15 , g(x) = |2x+3| & h(x) =5 -7x, then what is the value of f(g(h(2))) - h(f(g(-7)))?
A. -210
B. 579
C. 0
D. 9
E. 713
A. -210
B. 579
C. 0
D. 9
E. 713
09 Jul 2019, 23:32
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Kinshook
If f(x) =3x for x>=15, f(x) = 7x for x<15 , g(x) = |2x+3| & h(x) =5 -7x, then what is the value of f(g(h(2))) - h(f(g(-7)))?
A. -210
B. 579
C. 0
D. 9
E. 713
A. -210
B. 579
C. 0
D. 9
E. 713
Let's deal with \(f(g(h(2)))\) first:
\(h(x) =5 -7x\), so \(h(2) = 5 - 7*2 = -9\).
\(g(x) = |2x+3|\), so \(g(-9) = |2*(-9) + 3| = 15\).
\(f(x) =3x\) for \(x \geq 15\), so \(f(15) = 45\).
Now, \(h(f(g(-7)))\):
\(g(x) = |2x+3|\), so \(g(-7) = |2*(-7) + 3| = 11\).
\(f(x) =7x\) for \(x < 15\), so \(f(11) = 77\).
\(h(x) =5 -7x\), so \(h(77) = 5 - 7*77 = -534\).
Thus, \(f(g(h(2))) - h(f(g(-7)))= 45 - (-534)=579\).
Answer: B.
