wing: $$ f(x)=\frac{2 x+5}{5}-2 $$ b. What is the input when $$ f(x)=-3 $$

Question

UpStudy AI · Accepted Answer

To find the input $$ x $$ when $$ f(x) = -3 $$ for the function:

$$
f(x) = \frac{2x + 5}{5} - 2
$$

**Step 1: Set $$ f(x) $$ equal to -3**

$$
\frac{2x + 5}{5} - 2 = -3
$$

**Step 2: Add 2 to both sides to isolate the fraction**

$$
\frac{2x + 5}{5} = -3 + 2
$$

$$
\frac{2x + 5}{5} = -1
$$

**Step 3: Multiply both sides by 5 to eliminate the denominator**

$$
2x + 5 = -1 \times 5
$$

$$
2x + 5 = -5
$$

**Step 4: Subtract 5 from both sides to solve for $$ 2x $$**

$$
2x = -5 - 5
$$

$$
2x = -10
$$

**Step 5: Divide both sides by 2 to find $$ x $$**

$$
x = \frac{-10}{2}
$$

$$
x = -5
$$

**Conclusion:**

When $$ f(x) = -3 $$, the input is $$ x = -5 $$.
When $$ f(x) = -3 $$, the input is $$ x = -5 $$.

wing: \( f(x)=\frac{2 x+5}{5}-2 \) b. What is the input when \( f(x)=-3 \)