Question

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

Explanation:

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

$g(7) = \frac{7}{8} \times 7 - \frac{1}{2}$

Step2: Calculate the first term

$\frac{7}{8} \times 7 = \frac{49}{8}$

Step3: Rewrite $\frac{1}{2}$ to common denominator

$\frac{1}{2} = \frac{4}{8}$

Step4: Subtract the two fractions

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

Answer:

A. $\frac{45}{8}$