The function $$ f $$ is defined by $$ f(x)=3 x^{2}+5 $$, Find $$ f(3 x) $$. $$ f(3 x)=\square $$

Question

UpStudy AI · Accepted Answer

1. Substitute $$3x$$ into the function $$ f(x)=3x^2+5 $$. This gives:
   $$
   f(3x)=3(3x)^2+5
   $$

2. Compute $$(3x)^2$$:
   $$
   (3x)^2=9x^2
   $$

3. Replace back into $$ f(3x) $$:
   $$
   f(3x)=3(9x^2)+5
   $$

4. Multiply:
   $$
   3(9x^2)=27x^2
   $$

5. Write the final answer:
   $$
   f(3x)=27x^2+5
   $$
$$ f(3x) = 27x^2 + 5 $$

The function is defined by ,
Find .