Question

The table below shows values of two continuous linear functions, f (x) and g(x).

Unfortunately, the printer smudged a few of the values in the table.
х 0 10 20 30 40
f(x) 9 13 __ __ 25
g(x) 5 10 15 __ 25
Given the above information, what is the value of f(x) when g(x + 10) = 20?
A. 17
B. 20
C. 21
D. 25

Answer 1

To find the value of f(x) when g(x + 10) = 20, substitute x + 10 into the function g(x) and solve for x. Then, substitute x = 20 into the function f(x) to find the value of f(x).

Step-by-step explanation:

In the given table, we are given the values for two continuous linear functions, f(x) and g(x). To find the value of f(x) when g(x + 10) = 20, we need to substitute x + 10 into the function g(x) and solve for x. From the table, we see that g(x + 10) = 15, so x + 10 = 30. Solving for x, we get x = 20. Now, we can find the value of f(x) by substituting x = 20 into the function f(x). From the table, we see that f(x) = 13 when x = 10. We can assume that the function is continuous between x = 10 and x = 20, so the value of f(x) when x = 20 would be the same as when x = 10, which is 13.