Let f(x)=8xf(x)=8x. the graph of f(x)f(x) is transformed into the graph of g(x)g(x) by a vertical stretch of 4 and a translation of 7 units down. what is an equation for g(x)g(x)?

Step-by-step explanation:

A vertical stretch transformation means that we have to multiply the stretch factor to the x-variable, that way y-values will be stretched.

A translation downwards is accomplish by subtracting units to f(x), that is, to y-variable.

So, according to the rules, the equation would be:

Therefore, the final function transformed is

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step-by-step explanation:

x =±sqrt(1/3)

step-by-step explanation:

x+4/6x=1/x

multiply each side by 6x to get rid of the fractions

6x*(x+4/6x)=1/x*6x

distribute

6x^2 +4 = 6

subtract 4 from each side

6x^2 +4-4 = 6-4

6x^2 =2

divide by 6

6x^2/6 = 2/6

x^2 = 1/3

take the square root of each side

sqrt(x^2) = ±sqrt(1/3)

x =±sqrt(1/3)