f(x) = x + 2 g(x) = 2x − 1 The two equations above define the functions f and g. If f(a) = g(a) for some number a, what is the value of a?
f(a) = g(a)
So
a + 2 = 2(a) - 1
Add 1 to both sides.
a + 3 = 2a
Subtract a from both sides.
3 = a