Directions Ensure your work is legible and your answers are

Directions: Ensure your work is legible and your answers are indicated clearly with proper notation You must shows all your work to receive full credit Given f(x) = 5x + 4 State the domain and range of f. Verify f is one-to-one Find the inverse of the function. y = 5x + 4 x = 5y + 4

Solution

f(x)=5x+4

1) domain =(-,)

range =(-,)

2) f(x)=f(b)

5a+4 =5b +4

5a=5b

a=b

therefore f(x)=5x+4 is one -to -one function

3)let f(x)=y =>x=f^-1(y)

5x+4=y

5x=y-4

x=(y-4)/5

f^-1(y)=(y-4)/5

f^-1(x)= (x-4)/5