f(4)=g(4)\nf(4)=g(-2)\nf(2)=g(-2)\nf(-2)=g(-2)

Explanation:

Step1: Find the value of f(4)

Locate x = 4 on the x - axis. For the function y = f(x) (blue - line), when x = 4, y = f(4)=-14.

Step2: Find the value of g(4)

Locate x = 4 on the x - axis. For the function y = g(x) (red - line), when x = 4, y = g(4)=4. So f(4)≠g(4).

Step3: Find the value of g(-2)

Locate x=-2 on the x - axis. For the function y = g(x), when x = - 2, y = g(-2)=2.

Step4: Find the value of f(4) and check against g(-2)

We know f(4)=-14 and g(-2)=2, so f(4)≠g(-2).

Step5: Find the value of f(2)

Locate x = 2 on the x - axis. For the function y = f(x), when x = 2, y = f(2)=-8.

Step6: Check f(2) against g(-2)

Since f(2)=-8 and g(-2)=2, f(2)≠g(-2).

Step7: Find the value of f(-2)

Locate x=-2 on the x - axis. For the function y = f(x), when x=-2, y = f(-2)=2.

Step8: Check f(-2) against g(-2)

Since f(-2)=2 and g(-2)=2, f(-2)=g(-2).

Answer:

f(-2)=g(-2)