F(x) = 3x + 6, g(x) = 2x2 Find (fg)(x).
2 answers:
Answer:
( <u>fg)(x) = 12x³ + 12x²</u>
Step-by-step explanation:
Given f(x) = 3x + 6 and g(x) = 2x²
To find (fg)(x), we multiply g(x) with f(x)
(fg)(x)
(3x + 6) *( 2x²)
(3x) ( 2x²) + 6*2x²
6x³ + 12x²
hence ( <u>fg)(x) = 6x³ + 12x²</u>
(3x+6)(2x^2), using the distributive property, equals 2x^2*3x+2x^2*6. We multiply the 2 with the coefficients and add a power of x if multiplied by x, getting 6x^3+12x^2
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