Question

1. complete this information about the pair of cards that includes a1

write the equation of f(x) and use it to:
find an exact value for f(3):
find where f(x) = -1:

Explanation:

Step1: Identify the function

The function is given as \( f(x) = \frac{11}{7}x + \frac{15}{7} \).

Step2: Calculate \( f(3) \)

Substitute \( x = 3 \) into the function:

$$
LATEXBLOCK0
$$

Step3: Solve \( f(x) = -1 \)

Set \( \frac{11}{7}x + \frac{15}{7} = -1 \).
Multiply both sides by 7 to eliminate denominators:

$$ 11x + 15 = -7 $$

Subtract 15 from both sides:

$$ 11x = -7 - 15\\ 11x = -22 $$

Divide both sides by 11:

$$ x = -2 $$

Answer:

• Exact value for \( f(3) \): \( \frac{48}{7} \)
• Solution for \( f(x) = -1 \): \( x = -2 \)