Question

If f(x)=7x-5, determine f^-1(18)

Answer 1

To find the inverse of the function f(x) = 7x - 5, we need to solve for x in terms of y (or f^(-1)(x)). First, let's replace f(x) with y:

• y = 7x - 5

Now, we need to solve for x:

1. Add 5 to both sides:

• y + 5 = 7x

2. Divide both sides by 7:

• (x = (y + 5) / 7)

Now we have the inverse function, f^(-1)(x) = (x + 5) / 7. We can use this to find f^(-1)(18):

• f^(-1)(18) = (18 + 5) / 7
• f^(-1)(18) = 23 / 7

So, f^(-1)(18) = 23/7.