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Find each new function in simplest form f+gWhich of the four options is it?

Find Each New Function In Simplest Form FgWhich Of The Four Options Is It class=

Sagot :

We have to add the functions

[tex]\begin{gathered} f(x)=x^2+4x-5 \\ g(x)=7x^2-6x \end{gathered}[/tex]

To do this we have to remember the definition of addition of functions, that is

[tex](f+g)(x)=f(x)+g(x)[/tex]

Then, in our case we have

[tex]\begin{gathered} (f+g)(x)=(x^2+4x-5)+(7x^2-6x) \\ =x^2+4x-5+7x^2-6x \\ =8x^2-2x-5 \end{gathered}[/tex]

Then (f+g) is

[tex]8x^2-2x-5[/tex]

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