Let f and g be real functions defined by f (x) = 2x + 1 and g (x) = 4x – 7.
For what real numbers x, f (x) = g (x)?

Question

Let f and g be real functions defined by f (x) = 2x + 1 and g (x) = 4x – 7.For what real numbers x, f (x) = g (x)?

Philoid · Accepted Answer

Given: f and g be real functions defined by f(x) = 2x + 1 and g(x) = 4x-7

To find: For what real numbers x, f (x) = g (x)

Explanation: to satisfy the condition f(x) = g(x), the given real functions should be equal

i.e., 2x + 1 = 4x-7

⇒ 7 + 1 = 4x-2x

⇒ 8 = 2x

Or, 2x = 8

⇒ x = 4

Hence for x = 4, f (x) = g (x)