Question

Please show the working as well.

Answer 1

h(-3) = -(-3) ^2

= - 9

f(g(6)) =

g(6) = 3-6 =- 3

f(-3) = 3(-3) =-9

gh(x)= 3-(-x^2)

= 3+x^2

g^-1 (x) =

y = 3-x

exchange y and x and solve for y

x=3-y

x-3 = -y

-x+3 =y

g^ -1 (x) = -x+3