The problem in the image asks to find $g(1)$ for the function $g(x) = -5x + 1$.

Step-by-Step Solution:

1. The function is given as: $g(x) = -5x + 1$
2. To find $g(1)$, substitute $x = 1$ into the function: $g(1) = -5(1) + 1$
3. Simplify the expression: $g(1) = -5 + 1 = -4$

So, the value of $g(1)$ is $-4$.

Would you like further details, or do you have any other questions?

Here are five related questions for further practice:

1. Find $g(2)$ for the same function $g(x) = -5x + 1$.
2. If $g(x) = -5x + 1$, find $g(-1)$.
3. What is the slope of the function $g(x) = -5x + 1$?
4. Determine the y-intercept of the function $g(x) = -5x + 1$.
5. If $g(x) = -5x + 1$, for what value of $x$ does $g(x) = 0$?

Tip: When substituting a value into a function, make sure to follow the order of operations (PEMDAS: Parentheses, Exponents, Multiplication and Division, Addition and Subtraction).