examday

/TMUA

In the coordinate plane, for the function $y=f(x)$, it is given that:

• the tangent line to the graph at the point $(2,f(2))$ is $y=3x-1$,
• the tangent line to the graph at the point $(5,f(5))$ is $y=2x+4$.

For the function $g$ defined by

what is the value of $g'(2)$?