Suppose g(x) = f(x+1)+5. Which statement best compares the graph of g(x) with the graph of f(x)?

The  graph of g(x) = f(x-1)-5 is the graph of f(x) 1 units to the right and 5 units down.

Step-by-step explanation:

1. Shift graph functions y=f(x) to the left means that we will be adding inside the function

y= f(x+b)  , where b is constant

2. Shift to the right means that we will be subtracting inside the function

y= f(x-b)

3. To shift graph up units means that we would be adding outside the function:

y= f(x)+b

4. To shift the graph down some units means that we would be subtracting outside the function:

y= f(x)-b

Therefore, by the definition

The graph of g(x) = f(x-1)-5 is the graph of f(x) 1 units to the right and 5 units down.

60

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)