Functions and graphs: Function machines and composition of functions
Composing functions
Determine for \(f(x)=-2 x+3\) and \(g(x)=2 x-2\) the function rule for the following composed functions in simple expanded forms.
| \(f\bigl(f(x)\bigr)={}\;\) |
| \(f\bigl(g(x)\bigr)={}\;\) |
| \(g\bigl(f(x)\bigr)={}\;\) |
| \(g\bigl(g(x)\bigr)={}\;\) |
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