Which of the following best approximates the value g(h(1))? A.-7
B.-5
C.0
D.2

Please help!!!

The best approximated value of g(h(1)) is -5 and this can be determined by using the given graph.

Given :

Graph of the function f(x) and g(x).

The following steps can be used in order to determine the approximate value of g(h(1)):

Step 1 - The function (y = g(x)) represents the straight line passing through (-2.5,0) and (0,-5).

Step 2 - The equation of a line passing through (-2.5,0) and (0,-5) is given below:

y = -2(x + 2.5)

y = -2x - 5

Step 3 - According to the graph, the value of the function 'h' at (x = 1) is 0.

Step 4 - Now, the value of g(h(1)) can be calculated as:

g(h(1)) = -5

Therefore, the correct option is B).

For more information, refer to the link given below:

link

Option (B)

Step-by-step explanation:

From the graph attached,

There are two functions 'f' and 'g' graphed.

Value of the function 'h' at x = 1,

y = h(1) = 0

Now we know g[h(1)] = g(0) [By substituting the value of h(1) = 0]

Therefore, value of the function 'g' at x = 0,

y = g(0) = -5 [y-intercept at x = 0]

Option (B) will be the correct option.