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2. a function, f, is defined by the equation $f(x)=x^2 + 5$. what is $f…

Question

  1. a function, f, is defined by the equation $f(x)=x^2 + 5$. what is $f(3)+1$?

f. 9
g. 11
h. 12
j. 15

Explanation:

Step1: Find f(3)

Substitute \( x = 3 \) into \( f(x)=x^{2}+5 \). So \( f(3)=3^{2}+5 \). Calculate \( 3^{2}=9 \), then \( f(3)=9 + 5=14 \).

Step2: Calculate f(3) + 1

Now add 1 to \( f(3) \). So \( f(3)+1 = 14+1 = 15 \).

Answer:

J. 15