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Answered

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Study the equations:

f(x)=11x-5

g(x)=-2x-4

What is h(x) = f(x) g(x)

Study The Equations Fx11x5 Gx2x4 What Is Hx Fx Gx class=

Sagot :

semsee45

Answer:

[tex]h(x)=-22x^2-34x+20[/tex]

Step-by-step explanation:

Given functions:

[tex]\begin{cases}f(x)=11x-5\\g(x)=-2x-4\end{cases}[/tex]

Function composition is an operation that takes two functions and produces a third function.

Therefore, the given composite function f(x)g(x) means to multiply the function g(x) by the function f(x):

[tex]\begin{aligned}\implies h(x)&=f(x)g(x)\\& = (11x-5)(-2x-4)\\&=11x(-2x-4)-5(-2x-4)\\&=11x(-2x)+11x(-4)-5(-2x)-5(-4)\\&=-22x^2-44x+10x+20\\&=-22x^2-34x+20\end{aligned}[/tex]

Therefore:

[tex]\boxed{h(x)=-22x^2-34x+20}[/tex]

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