QuestionCalculate the following:
1. $(g+h)(x)$
2. $(h-f)(x)$
3. $(f-h)(x)$
4. $(g \circ f)(x)$
5. Functions: $f(x)=x-1$, $g(x)=x^{2}-1$, $h(x)=3x^{3}-2x-1$

Studdy Solution
Combine like terms.
$$\left(g^{\circ} f\right)(x) = x^{2} -2x$$So, the solutions are. $(g+h)(x) =3x^{3} + x^{2} -2x -2$
2. $(h-f)(x) =3x^{3} -3x$
3. $(f-h)(x) = -3x^{3} +3x -2$
4. $\left(g^{\circ} f\right)(x) = x^{2} -2x$