Question

Find the inverse of the function f(x) = 2x – 4. Because f(x), its inverse is a function. Option 1: a. g(x) = x/2 + 4 Option 2: b. g(x) = (x + 4)/2 Option 3: c. g(x) = 2x - 4 Option 4: d. g(x) = 4 - 2x

Answer 1

b.

Explanation:

f(x) = 2x - 4

We must first find x in terms of f(x):

f(x) + 4 = 2x

x = ( F(x) + 4)/2

Now replace x by the inverse ( g(x) and f(x) by x:

g(x) = (x + 4)/2.