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Posted by Arnab H. 4 years, 7 months ago
- 2 answers
Account Deleted 4 years, 7 months ago
Here I will tell you how to find F0g & hope you will find the remaining.
f0g is pronounced as f of g(x)
f0g = f{g(x)} = f {{tex}x \over x^2 +1{/tex}}
We have put the value of g(x) given in question.
Now let us assume that {tex}{x \over x^2 +1} = y{/tex}
Therefore, f {{tex}x \over x^2 +1{/tex}} = f{y}
as f{x} = 3x+2
f{y} = 3y +2
Therefore
f{{tex}{x \over x^2 +1}{/tex}} = 3 * {tex}{x \over x^2 +1}{/tex} + 2
=> f0g = {tex}{3x \over x^2 +1} +2 {/tex}
On Solving
f0g = {tex}{3x + 2x^2 +2\over x^2 +1}{/tex}
Answer.
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Arnab H. 4 years, 7 months ago
1Thank You