A function a satisfies `a (-2)=3 and a (3) =8.A` function b satisfies `b (3) =4 and b (7) =-2.` What is the value of `a (b(7))` ?

Answer

3

Explanation

To evaluate a composition function (a set of nested functions), start with the innermost function and work outward. For this question, being by evaluating b (7). Because `b (7)=-2,` you know that `a (b(7))=a (-2),` so next, evaluate `a (-2).` The question tells you that `a (-2)=3,` which makes (B) is correct.