8.3 Perform Funct. Operations and Comp.

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Terms in this set (...)

Perform the operation when f(x) = −3x∧1/3 + 4x∧1/2 and g(x) = 5x∧1/3 + 4x∧1/2:
f(x) + g(x)
-3x∧1/3 + 4x∧1/2 + 5x∧1/3 + 4x∧1/2
= 2x∧1/3 + 8x∧1/2
(f(x) and g(x) are same as above)
g(x) - f(x)
5x∧1/3 + 4x∧1/2 - (-3x∧1/3 + 4x∧1/2)
= 5x∧1/3 + 4x∧1/2 + 3x∧1/3 - 4x∧1/2
= 8x∧1/3
(f(x) and g(x) are same as above)
f(x) - g(x)
-3x∧1/3 + 4x∧1/2 - (5x∧1/3 + 4x∧1/2)
= -3x∧1/3 + 4x∧1/2 - 5x∧1/3 - 4x∧1/2
= -8x∧1/3
Perform indicated operation when f(x) = 2x² and
g(x) = 5x - 4:
f(x) × g(x)
2x²(5x - 4)
= 10x³ - 8x²
When f(x) = 4x-3, g(x) = -x² and h(x) = x-5/2, find
f(g(2))
g(2) = -(2)², g(2) = -4
f(-4) = 4(-4) - 3
= -16 - 3
= -19