What is the input value for which the statement f(x) = g(x) is true, where f(x) = 3x/2 - 2 and g(x) = 3?
Algebra is the branch of maths that deals with numerical expressions and variables. They have many applications in various fields including engineering and science.
Answer: The input value for which the statement f(x) = g(x) is true, is x = 10/3.
Let's understand the solution in detail.
To find the input value for which f(x) = g(x), we equate f(x) and g(x) as:
3 = 3x/2 - 2
3x/2 = 3 + 2
3x/2 = (5 × 2) / 3
Hence, x = 10/3