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if f(x) =-x^2+3x+5 and g(x)=x^2+2x, which graph shows the graph of (f+g)(x)?​

Respuesta :

carlosego

For this case we have the following functions:

[tex]f (x) = - x ^ 2 + 3x + 5\\g (x) = x ^ 2 + 2x[/tex]

We must find (f + g) (x), by definition we have to:

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

So:

[tex](f + g) (x) = - x ^ 2 + 3x + 5 + (x ^ 2 + 2x)\\(f + g) (x) = - x ^ 2 + 3x + 5 + x ^ 2 + 2x\\(f + g) (x) = 5x + 5[/tex]

ANswer:

See attached image

Ver imagen carlosego

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