Question

The table below shows some values of f(x) and g(x) for different values of x: x f(x) = 2x + 24 g(x) = 5(0.5)x −2 20 −1 0 5 1 2.5 2 28 Complete the chart and determine the solution of the equation f(x) = g(x).

x = −2

x = −1

x = 1

x = 20

Answer 1

x = -2

Explanation:

Took the test and when I did the work, I got it right.

Answer 2

Given equations are

f(x)=2x+24

`g(x)=5(0.5)^x`

Now we have to complete the table so that we can find for what value of x, both f(x) and g(x) are equal.

values in table are not clear so i will draw a fresh table using values x=-2,-1,0,1,2,3,4

I will show you calculation for x=-2

plug x=-2 into f(x) and g(x)

f(-2)=2(-2)+24=-4+24=20

`g(-2)=5(0.5)^(-2)=5((1)/(2))^(-2)=5((1)/(2^(-2)))=5(2^2)=5(4)=20`

Similarly you can find other values to complete the table.

From table we see that f(x) and g(x) both are equal to 20 when x=-2

Hence x=-2 is the final answer.