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Find [tex]\((f \circ g)(2)\)[/tex] for the following functions:

[tex]\(f(-11) = -6\)[/tex]

[tex]\(g(2) = -11\)[/tex]

Sagot :

GinnyAnswer
To find [tex]\((f \circ g)(2)\)[/tex], we need to evaluate the composition of the functions [tex]\(f\)[/tex] and [tex]\(g\)[/tex] at the input value [tex]\(2\)[/tex]. The composition [tex]\((f \circ g)(2)\)[/tex] means [tex]\(f(g(2))\)[/tex].

Here are the steps to find [tex]\((f \circ g)(2)\)[/tex]:

1. Evaluate [tex]\(g(2)\)[/tex]:
According to the information given,
[tex]\[ g(2) = -11 \][/tex]

2. Substitute [tex]\(g(2)\)[/tex] into [tex]\(f\)[/tex]:
Since [tex]\(g(2) = -11\)[/tex], we now need to find [tex]\(f(-11)\)[/tex].

3. Evaluate [tex]\(f(-11)\)[/tex]:
According to the information given,
[tex]\[ f(-11) = -6 \][/tex]

Therefore, [tex]\((f \circ g)(2) = f(g(2)) = f(-11) = -6\)[/tex].

So, the value of [tex]\((f \circ g)(2)\)[/tex] is [tex]\(-6\)[/tex].
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