Question

Evaluate g(18), when g(x) = −8x + 14. Enter answer in the grid on the student an swer sheet.

Answer 1

The value of g(x) is - 1.625.The function g(x) is used in place of any x in    the function f wherever it appears.

Find the value of g(x)?

• This area is between the graph of f(t) and the t-axis on the t-interval (0, 18), which is the preceding area MINUS the area of the polygon under the t-axis on the t-interval (9, 18), which consists of half of a 6x6 rectangle and a 6x3 rectangle.
• For any two functions f and g, there can be two composite functions: f of g of x = (f ∘ g)(x) = f(g(x)) g of f of x = (g ∘ f)(x) = g(f(x)).
• This area is between the graph of f(t) and the t-axis on the t-interval (0, 18), which is the preceding area MINUS the area of the polygon under the t-axis on the t-interval (9, 18), which consists of half of a 6x6 rectangle and a 6x3 rectangle.

Explanation:

Accordingly, g(18) = 63 - (18 + 18) = 27.

g(x) = -8x + 14.

27 - 14 + 8x = 0.

8x  =  - 13/8 = - 1.625.

The value of g(x) is - 1.625.      

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