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Question

Let f : R → R and g : R → R be functions defined by f(x) = 5 – x2 and g(x) = 3x – 4. Then the value of fog (–1) is ___________.

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Solution

Given: f(x) = 5 – x2 and g(x) = 3x – 4


fog-1=fg-1 =f3-1-4 =f-3-4 =f-7 =5--72 =5-49 =-44


Hence, the value of fog (–1) is ​–44.


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