Using the following equations, find $$ f(g(x)) $$ : $$ f(x)=x+8 $$ $$ g(x)=x^{4} $$ $$ f(g(x))=x^{[?]}+\square $$

Question

UpStudy AI · Accepted Answer

To find $$ f(g(x)) $$, we'll substitute $$ g(x) $$ into $$ f(x) $$.

Given:
- $$ f(x) = x + 8 $$
- $$ g(x) = x^4 $$

**Step-by-Step Solution:**

1. **Substitute $$ g(x) $$ into $$ f(x) $$:**
   $$
   f(g(x)) = f(x^4)
   $$

2. **Apply the function $$ f $$ to $$ x^4 $$:**
   $$
   f(x^4) = x^4 + 8
   $$

**Final Expression:**
$$
f(g(x)) = x^4 + 8
$$

So, filling in the blanks:
$$
f(g(x)) = x^{4} + 8
$$
$$ f(g(x)) = x^{4} + 8 $$

Using the following equations,
find :