Evaluate the indicated function for fx x2 3 and gx x 6 f

Evaluate the indicated function for f(x) = x^2 + 3 and g(x) = x 6. (f g)(2t) (f g)(2t)

Solution

given

f(x) = x^2 + 3 and g(x) = x 6

(f - g)(x)=f(x) -g(x)

(f - g)(2t)=f(2t) -g(2t)

(f - g)(2t)=((2t)²+3) -((2t)-6)

(f - g)(2t)=4t²+3 -2t+6

(f - g)(2t)=4t² -2t+9