Let f(x)=49 -x^2, g(x)=7-x. Find (f-g)(x)

Question

timaashorty · Answer

attachment

haseeb96 · Answer

(f-g)(x) just it as u just solve the subtraction question 
(f-g)(x) = 49 -x^2 -(7-x) 
           =  49 -x^2 -7 +x 
           =  -x^2 + x + 42 is the correct answer

timaashorty · Answer

thanks so much for showing the steps also. helps alot. (: Would you help me on the 2nd too?

haseeb96 · Answer

for second question 
first find 
(gof)(x) = g(f(x))
            = g(x^2+3 )
            =x^2+3 +5 / x^2 +3 
            = x^2 +8/x^2 +3 
now put 4 at the place of x 
(gof)(4) =  (4)^2 +8 / (4)^2 +3 
           = 16 +8 / 16 +3 
            =24 /19 is the correct answer

timaashorty · Answer

Thank you!

haseeb96 · Answer

welcome