Given that g(x) = 4x + 6, find the value of x that makes g(x) = 14.
-50
-5
2
8
14 = 4 x + 6
8 = 4 x
2 = x
To find the value of x that makes g(x) equal to 14, we can set up an equation: g(x) = 14.
Given that g(x) = 4x + 6, we can substitute this expression into the equation above:
4x + 6 = 14.
Now, we can solve this equation for x by isolating the variable:
4x = 14 - 6,
4x = 8.
To isolate x, we can divide both sides of the equation by 4:
4x/4 = 8/4,
x = 2.
Therefore, the value of x that makes g(x) equal to 14 is x = 2.