Schofield Harper
07/15/2023 · Junior High School

Find \(f(g(-1))\) if \(f(x) = 5 - x\) and \(g(x) = -x^2\).

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Step-by-step Solution

To find \(f(g(-1))\), we need to follow these steps: 1. Find \(g(-1)\) by substituting \(-1\) into the function \(g(x)\). 2. Find \(f(g(-1))\) by substituting the result from step 1 into the function \(f(x)\). Let's start with step 1: \(g(x) = -x^2\) Substitute \(-1\) for \(x\): \(g(-1) = -(-1)^2\) \(g(-1) = -1\) Now we have the result from step 1, we can move on to step 2: \(f(x) = 5 - x\) Substitute \(-1\) for \(x\) (which is the result from step 1): \(f(g(-1)) = f(-1)\) \(f(-1) = 5 - (-1)\) \(f(-1) = 5 + 1\) \(f(-1) = 6\) So, \(f(g(-1)) = 6\).

Quick Answer

\(f(g(-1)) = 6\)
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