Exercise 120 Page 593

f(x)=- 2x+9 ⇔ y=- 2x+9Now, to algebraically determine the inverse of the given equation we exchange x and y and solve for y. Given Equation & Inverse Equation y=- 2 x+9 & x=- 2 y+9 The result of isolating y in the new equation will be the inverse of the given function.

Finally, we write the inverse of the given function in function notation by replacing y with f^(- 1)(x) in our new equation. f^(- 1)(x)=9-x/2

g(x)=3(x+5) ⇔ y=3(x+5)Now, to algebraically determine the inverse of the given equation we exchange x and y and solve for y. Given Equation & Inverse Equation y=3( x+5) & x=3( y+5) The result of isolating y in the new equation will be the inverse of the given function.

Finally, we write the inverse of the given function in function notation by replacing y with g^(- 1)(x) in our new equation. g^(- 1)(x)=x/3-5