Question

If f(x) = x4 âÂ’ x3 x2 and g(x) = âÂ’x2, where x ≠ 0, what is (f â„g)(x)?.

Answer 1

The composite function is $f\circ g(x) = x^8+x^6+x^4$

Given that $f(x)=x^4+x^3+x^2$ and $g(x)=x^2$.

We need to calculate $f\circ g(x)$ which is a composite function.

If two functions are given and we create another function by using the given functions, then the new function is called composite function.

So to calculate the composite function, put the value of $g(x) = x^2$ in the function $f(x)$.

$f\circ g(x) = (x^2)^4+(x^2)^3+(x^2)^2$

$f\circ g(x) = x^8+x^6+x^4$

Hence the composite function is $f\circ g(x) = x^8+x^6+x^4$.

For more details, follow the link given below.

https://brainly.com/question/17299449.