Use the function to evaluate the indicated expressions and simplify

Question

F(x)=x+5

f(x²)=

(f(x))²=

Answer 1

f(x) = x + 5

f(x²) = x² + 5: Feed x² everywhere you see x in the original function

(f(x))²= (x + 5)² = (x + 5) (x + 5) = x² + 5x + 5x + 25 = x² + 10x + 25: Square the original definition of the function and then simplify