Question

Given, function f(x) = 2(x + 8)

We have to find x if f(x) = 12.
Now, 2(x + 8) = 12
By multiplicative and distributive property,
2x + 16 = 12
2x = 12 - 16
2x = -4
x = -4/2
x = -2
Therefore, the value of x is -2.

Answer 1

Correct! To find the value of x, we started with the given equation f(x) = 2(x + 8) and replaced f(x) with 12 to obtain 2(x + 8) = 12.

By applying the distributive property, which states that multiplication distributes over addition, we simplified the expression to 2x + 16 = 12.

Next we isolated the term with x on one side of the equation by subtracting 16 from both sides to obtain the equation 2x = -4.

Finally, we divided both sides of the equation by 2 to isolate x and solve for its value. This gives us x = -4/2, which simplifies to x = -2.

So the solution to the equation f(x) = 12, using the function f(x) = 2(x + 8), is x = -2.