Answer:
(i) 7
(ii) y= (8-2x)/3 or g^-1 (x) = (8-2x)/3
Step-by-step explanation:
b) (i) g(x) = (8-3x)/2
g(-2)= (8-3(-2))/2
g(-2) = (8+6)/2
g(-2)= 14/2
g(-2)=7
(ii) Now, for inverse, we just simply switch x and y and solve for y(g(x)):
Before: y = (8-3x)/2
After: x=(8-3y)/2
(solve)
2x= 8-3y (Multiplying both sides by 2)
2x-8 = -3y (Subtracting 8 both sides)
(2x-8)/-3 =y (Dividing by -3 both sides)
(8-2x)/3 = y (Multiplying the negative in numerator[Not necessary, but preferred by most!])
Hope this helps!
