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labwork [276]
3 years ago
14

F(-2) = -1 and g(1) = -2 (Fog)(1)

Mathematics
1 answer:
yulyashka [42]3 years ago
7 0

The value of the composite function fog(1) is -1

Step-by-step explanation:

Step 1 :

Given,

 f(-2) = -1

g(1) = -2

We need to find (fog)(1)

Step 2 :

Function f(2) means the value of the function f when x = 2

fog refers to composite function f(g(x)), that is evaluate the function g for x and then evaluate the function f for the result

So to find the composite function (fog)(1) we need to find g(1) first and then apply the function f on the result.

so g(1) = -2

f(g(1))=f(-2) = -1

fog(1) = -1

Step 3 :

Answer :

The value of the composite function is -1

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