To find $(f = g)(-1)$, we need to substitute $x = -1$ into both functions $f(x)$ and $g(x)$, and then check if they are equal.

Given: $f(x) = x^2 - x - 3$ $g(x) = 5x - 2$

First, calculate $f(-1)$: $f(-1) = (-1)^2 - (-1) - 3$ $f(-1) = 1 + 1 - 3 = -1$

Next, calculate $g(-1)$: $g(-1) = 5(-1) - 2$ $g(-1) = -5 - 2 = -7$

Since $f(-1) = -1$ and $g(-1) = -7$, $(f = g)(-1)$ is not satisfied, meaning $f(-1) \neq g(-1)$.

Would you like further details or have any questions?

Here are 5 related questions:

1. What happens graphically when $f(x) \neq g(x)$ at a particular point?
2. How can you find the intersection points of $f(x)$ and $g(x)$ algebraically?
3. How do you determine if two functions are equal for all values of $x$?
4. What is the importance of evaluating functions at specific points?
5. How can you check the equality of two functions for a given value of $x$?

Tip: Always substitute the value of $x$ into both functions carefully to ensure accuracy when comparing their results.