Question

For which pair of functions is (gºf)(a) =la|-2

Answer 1

The third

Explanation:

`(g\circ f)(x) = g\big(f(x)\big)`

so:

`I.\quad (g\circ f)(a)=√(f(a))=√(a^2-4)=√((a+2)(a-2))\\\\II.\quad (g\circ f)(a)=2f(a)-2=2(\frac12a-1)-2=a-2-2=a-4\\\\ \bolda\\\\ IV.\quad (g\circ f)(a)=4f(a)-5=4(3-3a)-5 = 12-12a-5=-12a+7`