MATH SOLVE

7 months ago

Q:
# 2.7 Q9The functions f and g are defined by the following tables. Use the tables to evaluate the given composite function.

Accepted Solution

A:

Answer: [tex](gof)(-1)=-2[/tex]Step-by-step explanation: By definition, a composite function is a function formed by substituing one function into another function. Given the composite function: [tex](gof)(-1)[/tex] You can rewrite it in the following form: [tex]g(f(-1))[/tex] In order to evaluate it, follow these steps: - Based on the table of the function f(x), the ouput value for [tex]x=-1[/tex] is [tex]y=3[/tex]. Then: [tex]f(-1)=3[/tex] - This will be the input of the function g(x). - Notice in the table of the function g(x) that the output value when [tex]x=3[/tex] is [tex]y=-2[/tex]: [tex]g(3)=-2[/tex] Therefore: [tex]g(f(-1))=-2[/tex] or [tex](gof)(-1)=-2[/tex]