Filters

Q
Engineering
2 weeks, 1 day ago

Let f(x)=2^{10}x+1 and g(x)=3^{10}x+1 If (fog)(x)=x then x is equal to

Let  $f(x)=2^{10}x+1$ and $g(x)=3^{10}x+1$. If $(fog)(x)=x$ , then x is equal to :
$\\ f(x)=2^{10}x+1 \\ g(x)=3^{10}x+1 \\ (fog)(x)=f(g(x))\\Now, \:\: 2^{10}(3^{10}x+1)+1=x \\ (2 \times3)^{10}x+2^{10}+1=x \\ 6^{10}x+2^{10}+1=x \\ x=\frac{-(1+2^{10})}{6^{10}-1}$