Find $$ (a \circ b)(-2) $$ $$ \begin{array}{c}a(x)=x+1 \ b(x)=3 x \ (a \circ b)(-2)=\square \ ext { Save answer }\end{array} $$

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Find $$ (a \circ b)(-2) $$ $$ \begin{array}{c}a(x)=x+1 \ b(x)=3 x \ (a \circ b)(-2)=\square \ 	ext { Save answer }\end{array} $$

UpStudy AI · Accepted Answer

To find $$ (a \circ b)(-2) $$, we'll follow these steps:

1. **Define the Functions:**
   - $$ a(x) = x + 1 $$
   - $$ b(x) = 3x $$

2. **Compose the Functions:**
   - $$ (a \circ b)(x) = a(b(x)) $$
   - Substitute $$ b(x) $$ into $$ a(x) $$:
     $$
     a(b(x)) = a(3x) = 3x + 1
     $$

3. **Evaluate at $$ x = -2 $$:**
   $$
   (a \circ b)(-2) = 3(-2) + 1 = -6 + 1 = -5
   $$

**Final Answer:**
$$
(a \circ b)(-2) = \boxed{-5}
$$
$$ (a \circ b)(-2) = -5 $$

Find \( (a \circ b)(-2) \) \( \begin{array}{c}a(x)=x+1 \\ b(x)=3 x \\ (a \circ b)(-2)=\square \\ \text { Save answer }\end{array} \)

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