Question

For \(f(x)=4x^2+1\) and \(g(x)=\frac{1}{x+2}\), which formula represents \((f\circ g)(x)\)?

पर्याय

• \(4x^2+1\)

• \(\frac{4}{(x+2)^2}+1\)

• \(\frac{1}{(x+2)^2}+4\)

• \(\frac{1}{4x^2+3}\)

Answer 1

Here, \(g\) is applied first: \(g(x)=\frac{1}{x+2}\). Substituting this into \(f\) gives \(f(g(x))=4\left(\frac{1}{x+2}\right)^2+1=\frac{4}{(x+2)^2}+1\).