Question

4 mark for review the function g is defined by $g(x) = \sqrt{8x + 1}$. what is the value of $g(3)$? a $\frac{5}{8}$ b $\frac{25}{8}$ c 5 d 25

Explanation:

Step1: Substitute \( x = 3 \) into \( g(x) \)

We have the function \( g(x)=\sqrt{8x + 1} \). To find \( g(3) \), we substitute \( x = 3 \) into the function. So we get \( g(3)=\sqrt{8\times3 + 1} \).

Step2: Simplify the expression inside the square root

First, calculate the value inside the square root: \( 8\times3+1=24 + 1=25 \). So now the function becomes \( g(3)=\sqrt{25} \).

Step3: Evaluate the square root

We know that \( \sqrt{25}=5 \) because \( 5\times5 = 25 \).

Answer:

C. 5