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

The solutions are
`-4,-3`

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`

Answer 2

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.