3.4 Exercise 34

Determine the domain for each function in interval notation.

For the following exercise, find the indicated function given $f \left(x\right) = 2 x^{2} + 1$ and $g \left(x\right) = 3 x - 5 .$

1. ⓐ $f \left(g \left(2\right)\right)$
2. ⓑ $f \left(g \left(x\right)\right)$
3. ⓒ $g \left(f \left(x\right)\right)$
4. ⓓ $\left(g \circ g\right) \left(x\right)$
5. ⓔ $\left(f \circ f\right) \left(- 2\right)$