Question

Which represents where f(x) = g(x)?

Answer 1

function f(x), when x = 0 then f(0) = 4
function g(x), when x = -4 then g(-4) = 4
so f(0) = g(–4) = 4

and

function f(x), when x = 4 then f(0) = 4
function g(x), when x = -2 then g(-2) = 4
so f(4) = g(–2) = 4

answer is 

d. f(0) = g(–4) and f(4) = g(–2)

Answer 2

Answer: b. f(–4) = g(–4) and f(0) = g(0)

Step-by-step explanation: We are given function f(x) as a line.

Function g(x) as a parabola.

The line of f(x) function and parabola g(x) cut graph at (0,4) and (-4,4) coordinates.

Therefore, at x=0, f(x) and g(x) has same values.

Also at x=-4,  f(x) and g(x) has same values.

Therefore, f(–4) = g(–4) = 4 and  f(0) = g(0) =4.

Therefore, correct option is b. f(–4) = g(–4) and f(0) = g(0).