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].
