Let's separate the stating of the two problems:

We find f-1(x)

a. Replace f(x) by y



b. Interchange x and y.



c. solve for y

Multiply through by 4 to clear the fraction:







d. replace y by f-1(x)

f-1(x) = 4x-8

Therefore,

f-1(1) = 4(1)-8
f-1(1) = 4-8
f-1(1) = -4

-------------------------------- 

   g(1) = −3(1)2+2
   g(1) = −3(1)+2
   g(1) = -3+2
   g(1) = -1

Therefore multiply both sides by -3:
 
 -3g(1) = -3(-1)
 -2g(1) = 3

Edwin