Question

Two functions are graphed on the coordinate plane.

121x
10
8
6
-4
-6-5-4-3-2-12 1 2 3 4 5 6 X
-6
6 9
-8
(g(x)
-10
-12 +
16)
Which represents where f(x) = g(x)?
Of(4) = g(4) and f(0) = g(0)
Of(-4)= g(-4) and f(0) = g(0)
Of(-4)= g(-2) and f(4) = g(4)
Of(0) = g(-4) and f(4) = g(-2)

Answer 1

`\bf \implies{f( - 4) \: = \: g( - 4) \: and \: f(0) = g(0)}`

Explanation:

Given :

• Graph

To Find :

• When f(x) = g(x)

Solution :

We can observe from the given graph that the two functions intersect each other at (0,4) and (-4,4)

→ g(0) = f(0)

and g(-4) = f(-4)