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

domain is all real values of x ( - infinity to + infinity )

range is all real values of y ( -infinity to + infinity )

b) for one to one function it must pass horizontal and vertical line test

if we draw a horizontal and vertical line on the graph it must cut the graph at no more than one point

hence, its a one to one function

c) y = 5x+5

switch x and y

x = 5y + 5

solve the function for y

y = ( x- 5) / 5

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