Questions: Which of the following is the corresponding value for f(g(1)) ? f(g(1))=-1 f(g(1))=3 f(g(1))=1 f(g(1))=-3

Which of the following is the corresponding value for f(g(1)) ?
f(g(1))=-1
f(g(1))=3
f(g(1))=1
f(g(1))=-3
Transcript text: 1. Which of the following is the corresponding value for $f(g(1))$ ? $f(g(1))=-1$ $f(g(1))=3$ $f(g(1))=1$ $f(g(1))=-3$
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Solution

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Solution Steps

To solve the problem of finding the corresponding value for \( f(g(1)) \), we need to follow these steps:

  1. Determine the value of \( g(1) \) using the function \( g(x) \).
  2. Use the result from step 1 as the input for the function \( f(x) \) to find \( f(g(1)) \).
  3. Compare the result with the given options to find the correct answer.
Step 1: Calculate \( g(1) \)

We start by evaluating the function \( g \) at \( x = 1 \): \[ g(1) = 1 \]

Step 2: Calculate \( f(g(1)) \)

Next, we use the result from Step 1 as the input for the function \( f \): \[ f(g(1)) = f(1) = 1 \]

Final Answer

The corresponding value for \( f(g(1)) \) is \[ \boxed{1} \]

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