To find the value of x that makes g(x) equal to 14, you start with the function defined as:
g(x) = 4x + 6
Next, set g(x) equal to 14:
4x + 6 = 14
Now, you need to solve for x. Start by isolating 4x. To do so, subtract 6 from both sides:
4x + 6 – 6 = 14 – 6
This simplifies to:
4x = 8
Now, divide both sides by 4 to solve for x:
x = 8 / 4
This simplifies further to:
x = 2
Therefore, the value of x that makes g(x) equal to 14 is x = 2.