Question

find the value of g(7) for the function below. g(x) = \frac{7}{8}x - \frac{1}{2} \bigcirc a. \frac{49}{8} \bigcirc b. \frac{60}{7} \bigcirc c. \frac{45}{8} \bigcirc d. \frac{53}{8}

Explanation:

Step1: Substitute \( x = 7 \) into \( g(x) \)

We have the function \( g(x)=\frac{7}{8}x - \frac{1}{2} \). Substitute \( x = 7 \) into it: \( g(7)=\frac{7}{8}\times7-\frac{1}{2} \)

Step2: Calculate the first term

Calculate \( \frac{7}{8}\times7=\frac{49}{8} \)

Step3: Calculate the second term

\( \frac{1}{2}=\frac{4}{8} \)

Step4: Subtract the two terms

\( g(7)=\frac{49}{8}-\frac{4}{8}=\frac{49 - 4}{8}=\frac{45}{8} \)

Answer:

C. \( \frac{45}{8} \)