AmiiraZ279860 AmiiraZ279860
  • 03-11-2022
  • Mathematics
contestada

given that f (x) = x squared + 17x + 72 and g(x) = x + 9 find f (x)-g (x)and express the result in standard form

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KolinF499357 KolinF499357
  • 03-11-2022

Given the functions:

[tex]f(x)=x^2+17x+72[/tex][tex]g(x)=x+9[/tex]

You have to subtract the functions:

[tex]f(x)-g(x)[/tex][tex](x^2+17x+72)-(x+9)[/tex]

Note that I wrote both functions in parentheses separated by the minus sign. For the seconf term, the minus sign is as if the parenthesis is being multiplied by -1, the sign of both x and 9 is inverted:

[tex]x^2+17x+72-x-9[/tex]

Order the like terms

[tex]x^2+17x-x+72-9[/tex]

And simplify

[tex]x^2+16x+63[/tex]

So the result in standard form is

[tex]f(x)-g(x)=x^2+16x+63[/tex]

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