We are given the two functions

and

. Since the question is asking us for the value of x when f(x) is equal to g(x), all we need to do is equate the respective expressions together. This is what the result should be:

Now, just solve for x. If you want to save some time, you can use logic and then algebra. To do this, look at the square root. We cannot have an imaginary number, so we can rule out the first two options. Now, we are left with x = 2 and x = 4. When we plug in each x-value to the equation, only 4 works out with a result of 0.5 = 0.5. Therefore, the solution to f(x) = g(x) is
D) x = 4. Hope this helps and have a great day!
Distributing property because you distribute the 4 to both the x and the -6
Answer:
8x + 4 - z
Step-by-step explanation:
Given the following :
The distance from her house to school is 2x+5 The distance from the school to the park is z If the total distance she was that day is 10x +9 how far is it from the park back to her
Distance from house to school = 2x + 5
Distance from school to park = z
Total distance covered = 10x + 9
Distance from park to house =?
Total distance = (distance from house to school + distance from school to park + distance from park to house)
Let p = distance from park to house
10x + 9 = (2x + 5 + z + p)
10x + 9 - 2x - 5 - z = p
8x + 4 - z