The value of the function for f(5) is 15,651.
The given function is [tex]f(x)=x^{6}+x^{2} +1[/tex].
We need to find the value of f(5).
Functions are the fundamental part of calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x. Mapping or transformation is used to denote a function in math.
Now, put x=5 in the function [tex]f(x)=x^{6}+x^{2} +1[/tex] and simplify.
That is, f(5)=[tex]5^{6} +5^{2} +1[/tex]
=15,625+25+1
=15,651
Therefore, the value of the function for f(5) is 15,651.
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