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Answered

Function h is the product of functions fand g.
f(x) = 4x-6
g(x) = 5x + 9
Which equation defines function h?
A. h(x)= 20x^2 + 3x-54
B. h(x)= 20x^2+ 6x-54
C. h(x)= 20x^2-54
D. h(x)= 20x-54

Answer :

INDRAWBOYIN

Function

[tex]\tt (f\times g)(x)=f(x)\times g(x)[/tex]

f(x) = 4x-6

g(x) = 5x + 9

[tex]\tt (f\times g)(x)= (4x-6)(5x+9)\\\\(f\times g)(x)=20x^2+36x-30x-54\\\\(f\times g)(x)=20x^2+6x-54(option\:B)[/tex]