Given equations are
f(x)=2x+24
[tex] g(x)=5(0.5)^x [/tex]
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
[tex] g(-2)=5(0.5)^{-2}=5(\frac{1}{2})^{-2}=5(\frac{1}{2^{-2}})=5(2^2)=5(4)=20 [/tex]
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.
Answer:
x = -2
Step-by-step explanation:
Took the test and when I did the work, I got it right.
