Given that g(x) = 4x + 6, find the value of x that makes g(x) = 14.

Solution:

g(x) = 4x + 6

The function g(x) represents a linear function of variable x. g(x) basically an intercept of a straight line with slope 4 and intercept as 6.

The problem statement is basically asking to find the value of x which shall make the value of the function g(x) as 14. This effectively means that the given equation becomes 14. Hence we can write

g(x) = 14 = 4x + 6

4x + 6 = 14

4x = 14 - 6

4x = 8

x = 2

Given that g(x) = 4x + 6, find the value of x that makes g(x) = 14.

Summary:

Given that g(x) = 4x + 6, find the value of x that makes g(x) = 14 is 2.