00:01
Hello everyone, welcome to this video.
00:03
So, here we are given with the function h of x, we have to find f of g of x.
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Now, we are given with f of g of x is equal to h of x.
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So, already we have h of x.
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So, we have to find f of g of x.
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So, using this equation, let us take x is equal to 5 minus 5 x power 4.
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So, h of x can be written as x power 4 plus 1 by x.
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Now, this value let us consider as f of x.
00:47
So, we have f of x is equal to x power 4 plus 1 by x and let us consider our g of x as 5 minus 5 x power.
01:06
So, now, f of g of x that is f of g of x which is 5 minus 5 x power 4 will give h of x that is 5 minus 5 x power 4 whole power 4 plus 1 by 5 minus 5 x power 4.
01:33
So, this is the answer for f of g of x.
01:38
Now, let us find f dash of x which is equal to.
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So, let us find the derivative of this function.
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So, it will be 4 x cube minus x inverse we can take it as x inverse for 1 by x...