To find the value of [tex]\( f(45) \)[/tex] using the given function rule [tex]\( f(x) = 10 + \frac{90}{x} \)[/tex]:
1. Identify the given function rule:
[tex]\[ f(x) = 10 + \frac{90}{x} \][/tex]
2. Substitute [tex]\( x = 45 \)[/tex] into the function:
[tex]\[ f(45) = 10 + \frac{90}{45} \][/tex]
3. Simplify the fraction [tex]\( \frac{90}{45} \)[/tex]:
[tex]\[ \frac{90}{45} = 2 \][/tex]
4. Add the result to 10:
[tex]\[ f(45) = 10 + 2 = 12 \][/tex]
Therefore, the value of [tex]\( f(45) \)[/tex] is:
[tex]\[ \boxed{12} \][/tex]
