Answer:
x = -10
Step-by-step explanation:
Explanation:
Essentially, the function notation, "g(x)" is the same as y.
Given g(x) = 2(x - 5), we could determine x for g(x) = - 30 by substituting -30 as the value of g(x) into the function:
g(x) = 2(x - 5)
-30 = 2(x - 5)
Distribute 2 into the parenthesis on the right-hand side of the equation:
-30 = 2x - 10
Next, add 10 to both sides of the equation:
-30 + 10 = 2x - 10 + 10
-20 = 2x
Finally, divide both sides by 2 to solve for x:
[tex]\LARGE\mathsf{\frac{-20}{\:2}\:=\:\frac{2x}{2}}[/tex]
x = -10
Double-check the validity of x = -10:
Verify whether we have the correct value for x by substituting x = -10 into the given function:
g(x) = 2(x - 5)
-30 = 2(-10 - 5)
-30 = -20 - 10
-30 = -30 (True statement).
Answer:
Therefore, the value of x = -10.
