Need finding the following functions using the graphs.

Step-by-step explanation:

1. The limit of f+g is the sum of the limits: lim(f)+lim(g). Unfortunately, the limit of g from the left (2) is different from the limit of g from the right (1) at x=1. Hence, the limit of g does not exist, so the limit of f at that point (2) is irrelevant.

2. lim(f+g) = lim(f)+lim(g) = 1 + 2 = 3. Both functions are defined and continuous at x=2, so their values can be read from the graphs.

3. lim(f·g) = lim(f)·lim(g) = 0·(3/2) = 0. Both functions are defined and continuous at x=0, so their values can be read from the graphs. We doubt that g(0) = 3/2 exactly, but it doesn't matter since f(0) = 0.

4. lim(f/g) = lim(f)/lim(g) = 0/(3/2) = 0. See the explanation for 3, immediately above.

5. f(-1) = -2, which is the limit aproaching either from the left or right. √(3-2) = 1. The function f is defined and continuous at x=-1, so its value can be read from the graph.

x = ± 6i

step-by-step explanation:

x^2 = -36

take the square root of each side

sqrt(x^2) = sqrt(-36)

we know sqrt(ab) = sqrt(a) sqrt(b)

x = ±sqrt(36) sqrt(-1)

we know that sqrt (-1) = i

x = ± 6i

set each factor equal to 0

4x-3 = 0

2x-1 = 0

solve for x.

4x-3=0

4x=3

x= 3/4

solve for x. 

2x-1= 0

2x= 1

x= 1/2

your answer should be 1/2 is less than or equal to x and 3/4 is greater than or equal to x