Problem

Let $f(x)=4 x-1, h(x)=-x+2$ Find $(h \circ f)(1)$.

Answer

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Answer

Final Answer: \(\boxed{-1}\)

Steps

Step 1 :Let \(f(x)=4 x-1\), \(h(x)=-x+2\). We need to find \((h \circ f)(1)\).

Step 2 :First, we find the value of \(f(1)\).

Step 3 :Substitute \(x = 1\) into \(f(x)\), we get \(f(1) = 4*1 - 1 = 3\).

Step 4 :Then, we substitute this value into \(h(x)\).

Step 5 :Substitute \(x = 3\) into \(h(x)\), we get \(h(3) = -3 + 2 = -1\).

Step 6 :So, \((h \circ f)(1) = -1\).

Step 7 :Final Answer: \(\boxed{-1}\)

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