Question

Please help me with this math problem.

Answer 1

If we plug the values, we have

$f(2) = 2p+3,\ g(5) = 5+4p$

So, we have to solve the following equation:

$2p+3 = 5+4p \iff -2p=2 \iff p = -1$

So, when we impose $f(x) = g(x)$, knowing the value of p, we have

$f(x) = -x+3 = x-4 = g(x)$

And so the solution is

$-x+3 = x-4 \iff -2x = -7 \iff x = \dfrac{7}{2}$