Question

Use synthetic substitution to evaluate f (3) when f(x)=x²-x²+3x-4.

Answer 1

5

Explanation:

To evaluate f(3) using synthetic substitution, we simply need to substitute 3 for every occurrence of x in the expression for f(x). The expression for f(x) is given as f(x) = x^2 - x^2 + 3x - 4. Substituting 3 for x gives us:

f(3) = 3^2 - 3^2 + 3*3 - 4

= 9 - 9 + 9 - 4

= 0 + 9 - 4

= 5

Therefore, f(3) = 5.