Exponential and Logarithmic Functions

Given two functions where $h(x) = (f \circ g)(x)$, if $g(x) = x^2 - x +1$ and $h(x) = x^4 - x^3 + x^2 - x +1$, what must be true about the function $f(u)$?

Suppose you have two functions defined by $m(n)=n+12$ and $p(n)=\frac{n}{6}$; what value do you get for $(m \circ p)(18)$?

Given functions $p(q)$ and $q(r)$, which notation correctly represents composing $p$ with $q$?

For $ f(g(h((j(k(l(m(n(o(p(q(r(s(t(u(v(w(y(z(a(b(c(d(e(f(g(h(i(j(k))))))))))))))))))))))))), which correctly describes its domain given each letter represents a polynomial or rational function?

Can you determine the value of k(z) when $k(z) = (q \\circ p)(z)$, assuming that $p(t) = \\frac{t}{2}$ and $q(r) = r$?

Given two functions, $h(x)=5x-4$ and $j(x)=x^2$, what is the output of the composition function at $x=0$ for $(j \circ h)(x)$?

What is the correct expression for $(g \circ f)(x)$, where $f(x) = 4$ and $g(t) = t + 1$?

What does the composition function $(k \circ m)(x)$ equal at $(x=22)$ where $k(x)=(x+33)$ and $m(x)=(x^2)$?

Given two functions, $l(t) = t^2$ and $k(t) = \sqrt{t}$, what is the value of $(k \circ l)(9)$?

For the functions defined by $p(t)=t^2+6t+9$ and $q(t)=-t$, determine $q(p(t))$.