Question

Two functions are shown in the table below.


Function 1 2 3 4 5 6
f(x) = −x2 + 4x + 12
g(x) = x + 2


Complete the table on your own paper, then select the value that is a solution to f(x) = g(x).
x = 2
x = 3
x = 5
x = 6

Answer 1

to fill in the first row of the table, all you need to do is calculate the value of f(x) at each of the x values

to fill in the second row of the table, do the same thing except with g(x)

the solution will be the x value where f(x) and g(x) are equal

Answer 2

to help you get started, I'll calculate f(1) for you

f(x) = -x^2+4x+12
f(1) = -(1)^2+4(1)+12 = -1+4+12 = 15

now do the same thing with the other values

Answer 3

i got it thanks