https://file.aiquickdraw.com/mathbot/file/1727363691948pn8871vs.jpg

Let's solve the problem step by step.

We are given the function:

\[
f(x) = -3x + 7
\]

### a) Find \( f(3) \):

We need to evaluate \( f(3) \). To do that, substitute \( x = 3 \) into the function:

\[
f(3) = -3(3) + 7 = -9 + 7 = -2
\]

Thus, \( f(3) = -2 \).

### b) Solve the equation \( f(x) = -5 \):

To solve \( f(x) = -5 \), we set the function equal to \(-5\):

\[
-3x + 7 = -5
\]

Now, solve for \( x \):

1. Subtract 7 from both sides:
   \[
   -3x = -5 - 7
   \]
   \[
   -3x = -12
   \]

2. Divide both sides by \(-3\):
   \[
   x = \frac{-12}{-3} = 4
   \]

Thus, \( x = 4 \) is the solution to \( f(x) = -5 \).

Would you like more details or have any questions?

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Here are 5 related questions to practice:

1. What is \( f(0) \) for the function \( f(x) = -3x + 7 \)?
2. Solve the equation \( f(x) = 0 \) for \( f(x) = -3x + 7 \).
3. What is the slope of the line represented by the function \( f(x) = -3x + 7 \)?
4. How would you describe the graph of \( f(x) = -3x + 7 \)?
5. Find \( f(-2) \) for the function \( f(x) = -3x + 7 \).

**Tip**: When solving linear equations, it's helpful to first isolate the term with the variable before performing any arithmetic operations.

f(x) = -3x + 7
 a) Bestem f(3)
 b) Løs ligningen f(x) = -5

Learn how to solve the linear function f(x) = -3x + 7 by finding f(3) and solving the equation f(x) = -5. This step-by-step solution explores key concepts in algebra and is ideal for students in Grades 8-10.

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