Question

Which expression represents the composition [f o g o h](x) for the functions below? f(x) = –2x4 g(x) = 4x – 6 h(x) = x – 1

Answer 1

Brainly won't let me post the answer. I'll post it as a comment to this answer.

Answer 2

Answer:

The expression which represents this composition is

$[f o g o h](x) =-2(4x-10)^4$

Step-by-step explanation:

Given : $f(x)=-2x^4$ , $g(x)=4x-6$ and $h(x)=x-1$

To find : The expression represents the composition  [f o g o h](x)  

Solution :

The composition is  $[f o g o h](x) = f(g(h(x)))$

So, first plug h into g.

i.e, $=f(g(x-1))$

$=f(4(x-1)-6)$

$=f(4x-4-6)$

$=f(4x-10)$

Next, plug in the new function into f.

$=-2(4x-10)^4$

The expression which represents this composition is

$[f o g o h](x) =-2(4x-10)^4$