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Consider functions f and g. I f(x) X T - 23 4 -8 OA. -4 O B. O C. 0 3 -2 -2 What is the value of x when (fog)(x) D. 4 0 4 g(x) −1 -2 -4 -8 8 32 B = -8? F​

Consider functions f and g. I f(x) X T - 23 4 -8 OA. -4 O B. O C. 0 3 -2 -2 What is-example-1
User Gunwin
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The value of x that satisfies (fog)(x) = -8 is: x = 4

To find the value of x when (fog)(x) = -8, we need to follow these steps:

Identify the composition of functions: (fog)(x) means applying function f followed by function g to x.

Solve for the value of g(x): We know that (fog)(x) = -8. Since we need to find x, we need to isolate x. Therefore, we need to find the value of g(x) that makes f(g(x)) = -8.

Apply function g: We don't have the explicit formula for function g, but we have a table of values. Look for the value of y (g(x)) that, when plugged into function f, results in an output of -8.

Solve for x: Once you find the value of y that makes f(y) = -8, find the corresponding x-value in the table. This x-value will be the solution to the equation (fog)(x) = -8.

Analyzing the table:

We need to find a value of y in the g(x) column that makes f(y) = -8.

Looking at the f(x) column, we see that f(4) = -8.

Therefore, we need to find the value of x in the g(x) column that corresponds to y = 4.

In the g(x) column, y = 4 corresponds to x = 4.

Therefore, the value of x that satisfies (fog)(x) = -8 is: x = 4

User Jayesef
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