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Let f(x)=(1)/(x^(4)+5) and g(x)=(1)/(x^(2)+1). What is the value of f(1-g(0)) ?

Let f(x)=1x4+5 f(x)=\frac{1}{x^{4}+5} and g(x)=1x2+1 g(x)=\frac{1}{x^{2}+1} . What is the value of f(1−g(0)) f(1-g(0)) ?

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Q. Let f(x)=1x4+5 f(x)=\frac{1}{x^{4}+5} and g(x)=1x2+1 g(x)=\frac{1}{x^{2}+1} . What is the value of f(1−g(0)) f(1-g(0)) ?
  1. Calculate 1−g(0)1 - g(0): Now, we need to calculate 1−g(0)1 - g(0).\newline1−g(0)=1−11 - g(0) = 1 - 1\newline1−g(0)=01 - g(0) = 0
  2. Substitute into f(x)f(x): Next, we substitute the value from the previous step into f(x)f(x).f(1−g(0))=f(0)f(1-g(0)) = f(0)f(0)=1(04+5)f(0) = \frac{1}{(0^4 + 5)}f(0)=15f(0) = \frac{1}{5}

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