Suppose f and g are even functions with ​f(2​)=2 and ​g(2​)=−2. Evaluate ​f(g(2​)) and ​g(f(−2​)). f(g(22​))=

Question

Calculus 1.1.3

Answer 1

Since f and g are even functions, the graphs of f and g are symmetric with respect to the y-axis.

 

    So, f(2) = f(-2) and g(2) = g(-2).

 

Therefore, f(g(2)) = f(-2) = 2

 

               g(f(-2)) = g(2) = -2

 

Is f(g(22)) a typo?