Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

express the given function h as a composition of two functions f and g …

Question

express the given function h as a composition of two functions f and g so that h(x) = (f \circ g)(x), where one of the functions is 6x - 9.

h(x) = (6x - 9)^8

f(x) =

Explanation:

Identify the given functions and composition structure

Using the Function Composition knowledge point

$$ LATEXBLOCK0 $$

Determine the inner and outer functions

Using the Function Composition knowledge point

$$ LATEXBLOCK1 $$

Answer:

Express the given function h as a composition of two functions f and g so that \(h(x) = (f \circ g)(x)\), where one of the functions is \(6x - 9\).
\(h(x) = (6x - 9)^8\)

\(f(x) =\) <blank>\(x^8\)</blank>