Question

15 Pts!!
What is the solution to f(x)=g(x) ?
Select each correct answer.

-6
-5
-4
-3
-2
-1
0

Answer 1

Here f(x) = 4x+20, g(x) = 2x+6

There are two ways to solve this.

One is to equate f(x) = g(x)

But looking at the table, g(x) appears to be a non linear function.

There is some misprint in the function of g(x).

Second way is to see the values of f(x) & g(x) and see where are they same.

We see that value of f(x) & g(x) is 4 for x = -4

Also we see that value of f(x) & g(x) is 8 for x = -3.

Hence The values of x for which f(x) = g(x) are -4 & -3.

Answer 2

Answer:

The solutions are $-4,-3$

Step-by-step explanation:

we know that

The solution of $f(x)=g(x)$ is equal to the intersection point both graphs

The solution is all ordered pairs that the x-coordinates and the y-coordinates in both graphs are the same

observing the table

For $x=-4$ -----> the value of the function is $4$ in both functions

and

For $x=-3$ -----> the value of the function is $8$ in both functions

therefore

The solutions are $-4,-3$