5914 1404 393
Answer:
f(1) = g(1) = 3
f(6) = g(6) = 23
Explanation:
Perhaps you want to know the solutions to ...
f(x) = g(x)
Substituting the function definitions, this is ...
4x -1 = x^2 -3x +5
0 = x^2 -7x +6 . . . subtract 4x-1
0 = (x -6)(x -1) . . . factor the equation
Solutions are x = 1 and x = 6, the values that make the factors zero.
The corresponding function values are ...
f(1) = 4(1) -1 = 3
f(6) = 4(6) -1 = 23
Solutions for y = f(x) = g(x) are (x, y) = (1, 3) and (6, 23).