Composition of Functions
These videos show how to find the composition of two functions.
Exercises
1.
\((f\circ g)(x) = 5x^2 + 25x - 17\)
2.
\((g \circ h) (x)=\dfrac{x^2+2}{x^4+4x^2+5}\)
3.
\(g(h(x)) = e^{x^2}(\ln{(2)} + x^2)\)
4.
\(f(g(x))= |(x-1)^\frac{1}{3}|=|\sqrt[3]{x-1}|\)
5.
\( f(g(x))= (x^2+4x+1)^{\frac{1}{2}}=\sqrt{x^2+4x+1}\)