If f, of, x, equals, start fraction, minus, 1, divided by, 20, x, end fractionf(x)=
20x
−1
​
, what is the value of f, of, minus, 6f(−6), to the nearest tenth (if necessary)?

The given function is:

\[
f(x) = \frac{-1}{20}x
\]

We want to find \( f(-6) \).

Substitute \( x = -6 \) into the function:

\[
f(-6) = \frac{-1}{20} \times (-6)
\]

Simplifying:

\[
f(-6) = \frac{6}{20} = 0.3
\]

So, the value of \( f(-6) \) is 0.3.

Would you like any further details or have any questions?

### Related Questions
1. What would \( f(10) \) be for the same function?
2. How do you find the slope of a linear function like \( f(x) = \frac{-1}{20}x \)?
3. What happens if we change the denominator in \( \frac{-1}{20}x \)?
4. How would \( f(x) \) behave for positive and negative values of \( x \)?
5. How do you plot \( f(x) = \frac{-1}{20}x \) on a coordinate plane?

### Tip
For linear functions like \( f(x) = mx \), \( m \) determines how steep or flat the graph is. A smaller \( m \) results in a flatter graph.

If f(x) = (-1/20)x, what is the value of f(-6) to the nearest tenth?

Learn how to find the value of f(-6) for the linear function f(x) = (-1/20)x. This step-by-step solution explains key algebraic concepts and demonstrates the calculation for students in Grades 6-8.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation