Question

Ive function with the proper nota f(x)=x^(14)+2x^(6)-5x+12

Answer 1

The value of the function f(x) = x^(14) + 2x^(6) - 5x + 12 at x = 3 is 474,804.

Step by Step Explaination:

To find the value of the function at x = 3, substitute x = 3 into the expression:

`\[ f(3) = 3^(14) + 2(3)^(6) - 5(3) + 12 \]`

Calculating each term separately, we get:

`\[ 3^(14) = 4,782,969,696,981 \]\[ 2(3)^(6) = 2(729) = 1,458 \]\[ 5(3) = 15 \]`

Now, plug these values back into the original expression:

`\[ f(3) = 4,782,969,696,981 + 1,458 - 15 + 12 \]`

Finally, combine these terms to get the final result:

`\[ f(3) = 4,782,969,696,981 + 1,458 - 15 + 12 = 4,782,969,698,436 \]`

Therefore, the value of the function at x = 3 is 474,804.

In conclusion, by substituting x = 3 into the function, we find that f(3) equals 474,804. This involves evaluating each term separately and combining them to obtain the final result.