earthfairy101
earthfairy101 earthfairy101
  • 23-06-2020
  • Mathematics
contestada

Let f(x)=5x+2 and g(x)=5x^2+4x. After simplifying, (f⋅g)(x)=______

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RyGuy033
RyGuy033 RyGuy033
  • 23-06-2020

Answer: [tex]f(g(x))=25x^{2}+20x+2\\[/tex]

Step-by-step explanation:

(f·g)(x) also means f(g(x)).

So basically what we do is take the function g(x) and plug it into f(x) where ever there is the variable x.

[tex]f(g(x))=5(5x^{2}+4x)+2[/tex]

Now distribute the 5.

[tex]f(g(x))=25x^{2}+20x+2[/tex]

This is as simplified the equation gets as it is not factor-able.

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