Exercise 1.3.68

If $f (x) = x + 4$ and $h (x) = 4 x - 1$ , find a function $g$ such that $g \circ f = h$ .

Answers

\begin{aligned} g \circ f (x) = g (f (x)) = h (x) & ⟹ g (x + 4) = 4 x - 1 . \\ 4 x - 1 = 4 (x + 4) - 17 & ⟹ g (x) = 4 x - 17 . \end{aligned}

kagan

2023-08-25 15:40