5. Given the functions f(x) = x² – 8 and g(x) = -5 – x, find h(x) = f(g(x)). a. h(x) = x² + 10x + 17 b. h(x) = -x² + 3 c. h(x) = x2 – 10x +3 d. h(x) = – x² – 13 6. If f (x) = x + 1 and g(x) = 6x, then (f • g)(x) = (g of)(x) a. True b.False

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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5. Given the functions f(x) = x² – 8 and g(x) = -5 – x, find h(x) = f(g(x)).
a. h(x) = x² + 10x + 17
b. h(x) = -x² + 3
c. h(x) = x2 – 10x +3 d. h(x) = – x² – 13
6. If f (x) = x + 1 and g(x) = 6x, then (f o g)(x) = (g of)(x)
a. True
b.False
Transcribed Image Text:5. Given the functions f(x) = x² – 8 and g(x) = -5 – x, find h(x) = f(g(x)). a. h(x) = x² + 10x + 17 b. h(x) = -x² + 3 c. h(x) = x2 – 10x +3 d. h(x) = – x² – 13 6. If f (x) = x + 1 and g(x) = 6x, then (f o g)(x) = (g of)(x) a. True b.False
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