Question

2 if $f(x) = x^2 + 2x + 1$ and $g(x) = 3x + 5$, then what is the value of $f(1) - g(3)$?
a $-8$
b $8$
c $-10$
d $10$

Explanation:

Step1: Calculate \( f(1) \)

Substitute \( x = 1 \) into \( f(x)=x^{2}+2x + 1 \).
\( f(1)=1^{2}+2\times1 + 1=1 + 2+1 = 4 \)

Step2: Calculate \( g(3) \)

Substitute \( x = 3 \) into \( g(x)=3x + 5 \).
\( g(3)=3\times3+5 = 9 + 5=14 \)

Step3: Calculate \( f(1)-g(3) \)

Subtract the two results: \( f(1)-g(3)=4 - 14=- 10 \)

Answer:

C. \(-10\)