Question

Determine the x
-intercept of the linear function f(x)=37x−2
. Enter your response as an improper fraction, if applicable.

Answer 1

To determine the \( x \)-intercept of the function \( f(x) = 37x - 2 \), we need to find the value of \( x \) when \( f(x) = 0 \).

Set the function equal to zero:

\[
0 = 37x - 2
\]

Now, solve for \( x \):

1. Add 2 to both sides:
\[
2 = 37x
\]

2. Divide by 37:
\[
x = \frac{2}{37}
\]

Thus, the \( x \)-intercept of the function is

\[
\boxed{\frac{2}{37}}
\]