Question

Express the function in the form f ∘ g. (Use non-identity functions for f and g.) F(x) = (5x + x2)4 {f(x), g(x)} =

Answer 1

Answer:

$f(x)=x^4,g(x)=5x+x^2$

Step-by-step explanation:

The given function is

$F(x)=(5x+x^2)^4$

We need to express the function in the form f ∘ g. Where f(x) and g(x) are non-identity functions.

$F(x)=(f\circ g)(x)$

$F(x)=f(g(x))$

$(5x+x^2)^4=f(g(x))$

Let as consider $g(x)=5x+x^2$.

$(g(x))^4=f(g(x))$

$f(x)=x^4$

Therefore, the required functions are $f(x)=x^4,g(x)=5x+x^2$.