Answer:
f(x) = -8(4)x
Step-by-step explanation:
The reflection of the point (x,y) across the x-axis is the point (x,-y).
Having said this, to reflect the function y=g(x) = 8(4x) over the x-axis, we just need to evaluate the equation in the point: (x,-y).
y = 8(4x) ⇒ -y = 8(4x) ⇒ y = -8(4x)
Then f(x) = -8(4x)
Attached you will find the graph of g(x) (blue) and f(x) (red),
The statement no solutions represents the simplified form of the given equation 6x + 14 = 3(2x + 5). Hence Option A is correct
<u>Solution:</u>
Given, equation is 6x + 14 = 3(2x + 5).
We have to find the correct options that represents the simplified form of the given equation and correctly describes the solution.
So, now let us simplify the given equation
⇒6x + 14 = 3(2x + 5) ⇒ 6x + 14 = 6x + 15 ⇒ 6x – 6x + 14 = 15 ⇒ 14 ≠ 15
As L.H.S not equals with R.H.S, no value of x can satisfy the equation and there will be no solution for given equation.
Hence, option A is correct.