Copy/Paste MathJax test

78 Copy/Paste MathJax test

For the following exercises, for each pair of functions, find a. $(f \circ g) (x)$

and b. $(g \circ f) (x)$

Simplify the results. Find the domain of each of the results.

42.

$f (x) = 3 x, g (x) = x + 5$

$f (x) = x + 4, g (x) = 4 x - 1$

44.

$f (x) = 2 x + 4, g (x) = x^{2} - 2$

$f (x) = x^{2} + 7, g (x) = x^{2} - 3$

46.

$f (x) = \sqrt{x}, g (x) = x + 9$

$f (x) = \frac{3}{2 x + 1}, g (x) = \frac{2}{x}$

48.

$f (x) = | x + 1 |, g (x) = x^{2} + x - 4$

$y = f (x),$

$D = {1, 2, 3}$

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