# How do you evaluate the function f(x) =x^2- 7x + 10 and g(x)=1-x^2  for f(0)?

Jun 2, 2017

See a solution process below:

#### Explanation:

Because we are evaluating $f \left(0\right)$ the function $g \left(x\right)$ plays no role in this question.

Substitute $\textcolor{red}{0}$ for each occurrence of $\textcolor{red}{x}$ in the function $f \left(x\right)$:

$f \left(\textcolor{red}{x}\right) = {\textcolor{red}{x}}^{2} - 7 \textcolor{red}{x} + 10$ becomes:

$f \left(\textcolor{red}{0}\right) = {\textcolor{red}{0}}^{2} - \left(7 \cdot \textcolor{red}{0}\right) + 10$

$f \left(\textcolor{red}{0}\right) = 0 - 0 + 10$

$f \left(\textcolor{red}{0}\right) = 10$