11) $$ \begin{array}{l}f(x)=4 x+2 \ g(x)=-2 x-4 \ ext { Find } f(g(6))\end{array} $$

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11) $$ \begin{array}{l}f(x)=4 x+2 \ g(x)=-2 x-4 \ 	ext { Find } f(g(6))\end{array} $$

UpStudy AI · Accepted Answer

To find $$ f(g(6)) $$, we'll follow these steps:

1. **Compute $$ g(6) $$:**
   
   $$
   g(x) = -2x - 4
   $$
   
   Plug in $$ x = 6 $$:
   
   $$
   g(6) = -2(6) - 4 = -12 - 4 = -16
   $$

2. **Compute $$ f(g(6)) $$, which is $$ f(-16) $$:**
   
   $$
   f(x) = 4x + 2
   $$
   
   Plug in $$ x = -16 $$:
   
   $$
   f(-16) = 4(-16) + 2 = -64 + 2 = -62
   $$

**Final Answer:** $$ f(g(6)) = -62 $$
$$ f(g(6)) = -62 $$

11) \( \begin{array}{l}f(x)=4 x+2 \\ g(x)=-2 x-4 \\ \text { Find } f(g(6))\end{array} \)

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