Step-by-step explanation:
f(x) = x + 3/ 2
For a
f(2) = 2 + 3 / 2
= ( 4 + 3 ) /2
= 7/2
For b
f(x) = x + 3/2
f^-1(x) = ?
Let y = f(x)
y = x + 3/2
Interchanging the roles of x and y we get,
x = y + 3 / 2
y = x - 3 / 2
Therefore f^-1(x) = x - 3 / 2
For c)
f ^ -1(12) = 12 - 3 / 2
= (24 - 3) / 2
= 21 / 2
Hope it will help :)