f(x)=49-x^2 and g(x)=7-x which is the rule of the function (f*g)(x)

Question

f(x)=49-x^2 and g(x)=7-x which is the rule of the function (f*g)(x)

Answer 1

f(x) = 49 - x²

g(x) = 7 - x

(f ° g)(x) = 49 - (g(x))²

(f ° g)(x) = 49 - (7 - x)²

(f ° g)(x) = 49 - (49 - 14x + x²)

(f ° g)(x) = 49 - 49 + 14x - x²

(f ° g)(x) = -x² + 14x