Answer:
[tex](f \cdot g)(x)=18x^3+15x^2[/tex]
Step-by-step explanation:
Given functions:
[tex]\begin{cases}f(x)=6x^2+5x \\ g(x)=3x\end{cases}[/tex]
Function composition is an operation that takes two functions and produces a third function.
The composite function (f · g)(x) means to multiply function f(x) by function g(x):
[tex]\begin{aligned}\implies(f \cdot g)(x) & = f(x) \cdot g(x)\\& = (6x^2+5x)(3x)\\& = 6x^2 \cdot 3x+5x\cdot 3x\\& = 18x^3+15x^2\end{aligned}[/tex]
Learn more about composite functions here:
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