Question

Select the correct answer. Find the inverse of function f. f(c) = 9x + 7

Answer 1

Answer:

B.) f⁻¹(x) = (1/9)x - 7/9

Step-by-step explanation:

Remember, f(x) is another way of writing "y". The inverse can be found by swapping the positions if the "x" and "y" variables and then solving to isolate the "y" variable.

f(x) = 9x + 7                            <----- Original function

y = 9x + 7                               <----- Substitute f(x) for "y"

x = 9y + 7                               <----- Swap variable positions

x - 7 = 9y                                <----- Subtract 7 from both sides

(x - 7) / 9 = y                           <----- Divide both sides by 9

(1/9)x - 7/9 = y                      <----- Divide each term individually by 9

The inverse function is represented by the symbol f⁻¹(x).