Question

25-26 pre-college math semester a exam
question 4
for the functions $f(x) = 3x - 8$ and $g(x) = 2x + 3$. completely.
a. $2f(x) + g(x)$

Explanation:

Step1: Substitute f(x) and g(x)

We know \( f(x) = 3x - 8 \) and \( g(x) = 2x + 3 \). Substitute them into \( 2f(x)+g(x) \):
\( 2(3x - 8)+(2x + 3) \)

Step2: Distribute the 2

Using the distributive property \( a(b + c)=ab+ac \), we get:
\( 6x - 16 + 2x + 3 \)

Step3: Combine like terms

Combine the x - terms (\( 6x + 2x \)) and the constant terms (\( - 16+3 \)):
\( (6x + 2x)+(-16 + 3)=8x-13 \)

Answer:

\( 8x - 13 \)