Express the given function h as a composition of two functio

Express the given function h as a composition of two functions f and g so that h(x) = (f compositefunction g) (x), where one of the functions is x^5 - 3. h(x) =^7 Squareroot x^5 - 3 f(x) = (Simplify your answer.) g(x) = (Simplify your answer.)

Solution

Solution:

h(x) = (fog)(x)

h(x) = f (g(x)) ........... 1

given that

h = (x⁵-3)^{1/7 .............. 2}

since one function is given x⁵-3 therefore

comparing 1 and 2

we get g(x) = x⁵-3

and f(x) = (x)^1/7

Answer