Question

The table shows values for functions f(x) and g(x)

Answer 1

Answer:

Option 2nd and 3rd are correct.

The solutions to f(x) =g(x) are;

x = -2 and x = -1

Step-by-step explanation:

Let x represents the independent variable and f(x) and g(x) represents the dependent variable.

Given the function:

$f(x) = 2^(-x)$ and $g(x) = -2x$\

we have to find the solution to f(x) = g(x).

From the given table you can see that:

For x = - 2

f(-2) = 4

g(-2) = 4

then;

f(x) = g(x) for x = -2

Also;

For x = - 1

f(-1) = 2

g(-1) = 2

then;

f(x) = g(x) for x =-1

Therefore, the solutions to f(x) =g(x) are, x = -1 and -2

Answer 2

Consider, pls, this solution:
f(x)=g(x) if x= -2 and x= -1, in those case f(x)=g(x)=4 and f(x)=g(x)=2