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Aloiza [94]
3 years ago
5

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

Mathematics
1 answer:
coldgirl [10]3 years ago
5 0

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(\frac{1}{2})^{-2}=5(\frac{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.

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