Question

please helpp!!!!
Find the sum of the following
a) F(x)=2x+3 and g(x)=9x+7
b) F(x)=x^2+5x+6 and g(x)=2x^2-3x+1​​

Answer 1

Answer:

Dom(gof)=Dom(f)={1,3,4}.

(gof)(1)=g{f(1)}=g(2)=3.

(gof)(3)=g{f(3)}=g(5)=1.

(gof)(4)=g{f(4)}=g(1)=3.

∴gof={(1,3),(3,1),(4,3)}.