本题目来源于试卷: Differential Calculus，类别为 IB数学
[问答题]
Consider a function o 7cmd0nuw- nrba5mxk4ld .d4 6z s*5eg)wfi2vh8.dax*j5ju46 gtg,(mq td f f . The line $L_{1}$ with equation y=2 x-1 is a tangent to the graph of f when x=3 .
1. a. Write down $f^{\prime}(3)$ .
b. Find f(3) .
Let $g(x)=f\left(x^{2}-1\right)$ and P be the point on the graph of g where x=2 .
2. Show that the graph of g has a gradient of 8 at P .
Let $L_{2}$ be the tangent to the graph of g at P . The line $ L_{1}$ intersects $ L_{2}$ at the point Q .
3. Find the y -coordinate of Q .
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