To determine the function which has the largest value at x=3,
We will calculate the value of each function by substituting the value of x=3 in each of the given function.
Let us consider the first function,
[tex] c(x)=3x^{2}+5x+22 [/tex]
[tex] c(3)=3\times 3^{2}+5 \times 3+22 [/tex]
[tex] c(3)=27+15+22 [/tex]
[tex] c(3)=64 [/tex]
Let us consider the second function,
[tex] j(x)=12x [/tex]
[tex] j(x)=12 \times 3 =36 [/tex]
Let us consider the third function,
[tex] a(x)=9x [/tex]
[tex] a(x)=9 \times 3=27 [/tex]
Therefore, the function c(x) has the largest value at x=3.
