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f(x) = x(x - 1)

g(x) = 3x
find (f*g)(6)


Sagot :

Step-by-step explanation:

Given functions:

  • f(x) = x(x - 1)
  • g(x) = 3x

Find (f*g)(6):

  • (f*g)(6) = f(6)*g(6) = 6(6 - 1)*3(6) = 30*18 = 540

In case it is a composite function (f · g)(6) the answer is different:

  • (f · g)(6) = f(g(6)) = f(3*6) = f(18) = 18*(18 - 1) = 306

Step-by-step explanation:

[tex] \sf{ \longmapsto(6(6-1))×3(6)}[/tex]

[tex] \sf \longmapsto{ = 30 \times 18}[/tex]

[tex] \sf \longmapsto \boxed{ = \red{5} \blue4 \pink0}[/tex]