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Differentiability at a point: algebraic

AP.CALC: FUN‑2 (EU), FUN‑2.A (LO), FUN‑2.A.1 (EK), FUN‑2.A.2 (EK)

Problem

Is the function given below continuous/differentiable at x, equals, 1?
g(x)={x2+2x,x14x1,x>1g(x)=\begin{cases} x^2+2x&,&x\leq1 \\\\ 4x-1&,&x>1 \end{cases}
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