We are given a function f(x) = 2x - 8 and a condition that f (a) = f (b). We are then asked the next terms of 2a - 8 = ______.
Now, we have to think that the parent function is f(x) = 2x - 8 and f (a) = f (b). This means the value of the function f(a) is if a is substituted to x:
f (a) = 2a - 8, same goes for f (b):
f (b) = 2b - 8.
Since we have a condition that f(a) = f (b), then,
2a - 8 = 2b - 8.
If we simplify further,
2a = 2b - 8 + 8
( 2a = 2b ) / 2
the equation becomes:
a = b; this proves that f is a one-to-one function.
