Answer :

To find the value of [tex]\( g(5) \)[/tex] for the function [tex]\( g(x) = \frac{10}{x^2} \)[/tex], follow these steps:

1. Identify the given function: The function is [tex]\( g(x) = \frac{10}{x^2} \)[/tex].

2. Substitute [tex]\( x = 5 \)[/tex] into the function:
[tex]\[ g(5) = \frac{10}{5^2} \][/tex]

3. Evaluate the expression inside the denominator:
[tex]\[ 5^2 = 25 \][/tex]

4. Substitute back into the function:
[tex]\[ g(5) = \frac{10}{25} \][/tex]

5. Simplify the fraction:
[tex]\[ \frac{10}{25} = 0.4 \][/tex]

Therefore, the value of [tex]\( g(5) \)[/tex] is [tex]\( 0.4 \)[/tex].