If g(x) = 3(x - 2), find the value of x if g(x) = 6?

Solution:

A function is a process or a relation that associates each element 'a' of a non-empty set A , at least to a single element 'b' of another non-empty set B.

A relation f from a set A (the domain of the function) to another set B (the co-domain of the function) is called a function in math.

f = {(a,b)| for all a ∈ A, b ∈ B}

Given:

Functions are g(x) = 3(x - 2) and g(x) = 6

As it is said in the given data, we can equate both g(x)

We get 3(x - 2) = 6

3x - 6 = 6

Adding '6' on both sides,

3x - 6 + 6 = 6 + 6

3x = 6 + 6

3x = 12

Divide with '3' on bith sides,

x = 12/3

x = 4

Therefore, the value of x is 4

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If g(x) = 3(x - 2), find the value of x if g(x) = 6?

Summary:

If g(x) = 3(x - 2) then the value of x if g(x) = 6 is 4. A relation f from a set A  to another set B is called a function in math.