The value of the function (f.h)(x) is 96x⁵ + 132x⁴ + 78x³ + 18x²
<h3>How to solve function?</h3>f(x) = 3x² + 4x³ + 8x⁴
g(x) = -3x + 12x² - 5x³
h(x) = 12x + 6
Therefore,
(f.h)(x) = f(x).h(x)
Hence,
f(x).h(x) = (3x² + 7x³ + 8x⁴)(12x + 6)
f(x).h(x) = 36x³ + 18x² + 84x⁴ + 42x³ + 96x⁵ + 48x⁴
(f.h)(x) = 96x⁵ + 84x⁴ + 48x⁴ + 36x³ + 42x³ + 18x²
(f.h)(x) = 96x⁵ + 132x⁴ + 78x³ + 18x²
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Answer:
c = -3
Step-by-step explanation:
Multiply all terms by the same value to eliminate fraction denominators
Cancel multiplied terms that are in the denominator
Multiply the numbers
Add 11 to both sides of the equation
Simplify
Divide both sides of the equation by the same term
Simplify
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