Given the function: g(x)=2x+4 and g(x)=-8.
Recall that function notation is the same expression as “y=,” so g(x) can be replaced with y if they helps to understand it better. Therefore, if g(x)=-8, then y=-8 because g(x) and y indicate the output value.
Let’s solve for x when y=-8 or g(x)=-8:
(-8)=2x+4
Subtract 4 from both sides:
-8-4=2x
-12=2x
Divide both sides by 2:
-12/2=x
-6=x
Apply the symmetric property (if a=b, then b=a):
x=-6
We can check this by substituting x back into the function and checking that the equation is satisfied:
-8=2(-6)+4
-8=-12+4
-8=-8
Thus, x = -6 is the answer