Function f(x)=2x+1 and g(x)=x^2+1 and f(x)=g(x) then find the value of x

Answer:
x = 0 or x = 2
Step-by-step explanation:
Since f(x) = g(x) then equate the right sides, that is
x² + 1 = 2x + 1 ( subtract 2x + 1 from both sides )
x² - 2x = 0 ← in standard form
x(x - 2) = 0 ← in factored form
Equate each factor to zero and solve for x
x = 0
x - 2 = 0 ⇒ x = 2