Question

F(x)=x^2-10 and g(x)=7–x, find (f-g)(-6)

Answer 1

$(f-g)(x)=f(x)-g(x)\\\\f(x)=x^2-10\\\\f(-6)\to\text{put x = -6 to the equation}\\\\f(-6)=(-6)^2-10=36-10=26\\\\g(x)=7-x\\\\g(-6)\to\text{put x = -6 to the equation}\\\\g(-6)=7-(-6)=7+6=13\\\\(f-g)(-6)=f(-6)-g(-6)=26-13=13$