Question

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

Answer 1

B.) f⁻¹(x) = (1/9)x - 7/9

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).