Found the answers but teacher is asking for the following:

4 - Please reduce final answer.

5 - What do you need to do to adjust for the domain x<0 which becomes the range in your inverse?

6 - Have not found the inverse.

7 and 8 - Use composite functions to find whether these are inverses.

B. Find the inverse of the following functions algebraically. Is the inverse a function?

4. h(x) = (18x + 2)/10

18x+2=10y

X=10y-2/18

H-1(y)=10y-2/18

H-1(y)=10y-2/18 is a function.

5. y = x^2 - 1, x < 0

X2=y+1

X= y+1, x<0

f-1(y)= y+1

f-1(x)= x+1 is not a function because we are unable to locate the y like x<0.

6. y = x^2 + 3

y = x^2 + 3 is a function if y=[3,00] and is not a function is y=(-, 3).

C. Are f and g inverses of each other?

7. f(x) = -(1/5)x + 3/5 g(x) = -5x + 3

F(x)=-1/5x+3/5, g(x)=-5x+3

Y=-1/5x+3/5, z=-5x+3

X=-5(y-3/5), x=1/5(2-3)

f-1(y)=-5(5y-3)/5, g1(2)=-1/5 2+3/5

f1(z)=-5y+3, g-1(x)=-1/5x+3/5

f and g are inverses of each other.

8. f(x) = x + 1/2 g(x) = 1x -

F(x)=x+1/2, g(x)=x-1/2

Y=x+1/2, 2=x-1/2

X=y-1/2, x=2+1/2

f-1(y)=y-1/2, g-1(2)=z+1/2

f and g are inverses of each other.