Question

Se f(X)= X2+2,g(X)=2x-1, então f[g(X)] é?

Answer 1

$f(x) = x^{2} +2\\ g(x) = 2x-1\\\\ f[g(x)] = (2x-1)^{2} +2\\\\\\ como \;\;\left(a-b\right)^2=a^2-2ab+b^2\\\\\\ f[g(x)] = \left(2x\right)^2-2\cdot \:2x\cdot \:1+1^2 +2\\\\ f[g(x)] = 4x^2-4x+3$