Respuesta :

Answer:

289

Step-by-step explanation:

We don't need [tex]g[/tex] at all for this.

We will need to know [tex]f(4)[/tex] before continuing...

[tex]f(4)[/tex] can be found by replacing [tex]x[/tex] in [tex]f(x)=x^2+1[/tex] with [tex]4[/tex]:

[tex]f(4)=4^2+1[/tex]

[tex]f(4)=16+1[/tex]

[tex]f(4)=17[/tex]

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Now let's find [tex][f(4)]^2[/tex]:

[tex][f(4)]^2[/tex]

[tex][17]^2[/tex]

[tex]17(17)[/tex]

[tex]289[/tex]

Answer:

289

Step-by-step explanation:

Evaluate f(4) by substituting x = 4 into f(x), that is

f(4) = 4² + 1 = 16 + 1 = 17, then

[f(4) ]² = 17² = 289