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?

Solution:

Algebra is the branch of maths that deals with numerical expressions and variables. They have many applications in various fields including engineering and science.

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

x = (5 × 2) / 3

Hence, x = 10/3

Thus, the input value for which the statement f(x) = g(x) is true, is x = 10/3.

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?

Summary:

The input value for which the statement f(x) = g(x) is true, is x = 10/3.