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Find f(f)(3)



if

f(x)=x^2+x

a.30
b.6
c. 33
d. -6

Respuesta :

Answer:

[tex]f(f(3))=156[/tex]

Step-by-step explanation:

we are given

[tex]f(x)=x^2+x[/tex]

We can replace x

[tex]f(f(x))=(f(x))^2+f(x)[/tex]

now, we can replace

[tex]f(f(x))=(x^2+x)^2+x^2+x[/tex]

now, we can plug x=3

and we get

[tex]f(f(3))=(3^2+3)^2+3^2+3[/tex]

we get

[tex]f(f(3))=(9+3)^2+12[/tex]

[tex]f(f(3))=(12)^2+12[/tex]

[tex]f(f(3))=144+12[/tex]

[tex]f(f(3))=156[/tex]

So,

[tex]f(f(3))=156[/tex]

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