Question

Which of the following is an equation for the inverse of the function f(x)=4x+34?

a) y= x−34/4
​b) y= 4x−34/4
​c) y= x+34/4
​d) y= 4x+34/4
​

Answer 1

The inverse of the function f(x) = 4x + 34 is found by swapping x and y, resulting in the equation y = (x - 34) / 4, which is option a).

Step-by-step explanation:

To find the equation for the inverse of the function f(x) = 4x + 34, we need to interchange the roles of x and y. This results in x = 4y + 34. We then solve for y to get the inverse function:

• • Subtract 34 from both sides: x - 34 = 4y.
  • Divide both sides by 4: (x - 34) / 4 = y.

Therefore, the equation for the inverse function is y = (x - 34) / 4, which corresponds to option a).