The function g(x) =8(4x) is reflected across the x-axis to create f(x) what is the equation for f(x)
2 answers:
Answer:f(x)= -8 (4x) will be the reflected function across x-axis for the function g(x).
Explanation: since we know that the image or reflection of x along x-axis = -x
That is, when we talk about a function's reflection across any axis then we have to replace variable according to that axis. For example if you have a line x=3 in positive x-axis then you can also draw a similar line x=-3 in negative x-axis. so, you can say, x=-3 is the reflection of x=3 along x axis.
Similarly, for an another line y=3, y=-3 is a reflection.
thus in the case of g(x) we can find the reflection across x-axis after replacing x by -x.
we have g(x) =8(4x)
replace x by -x we get g(-x)= 8(4×-x)= 8(-4x)=-8(4x)
so -8(4x) is the reflection of g(x)
but according to the question f(x) is the reflection of g(x) across x-axis.
Thus, f(x)=-8(4x)
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Answer:
The solution to the system of equation is (-10, -7)
Step-by-step explanation:
To determine the solution to the system of equations below, we will follow the steps below:
y = two-fifths x minus 3 and x = –10
y = - 3------------------------------------------------------(1)
x = -10
substitute x=-10 into equation (1)
y= 2(-10)/5 - 3
Simplify to get the value of y
y = -20/5 - 3
y = -4-3
y=-7
The standard way of writing solution to a system of equation is (x,y)
Thus x= -10 and y = -7
Hence the solution to the system of equation is (-10, -7)