Answer :
Answer:
(0,1)
Step-by-step explanation:
To find when f(x)=g(x), then look for a value that is the same for both functions in the table. 1 occurs twice for the same x value. This is when they are equal. The solution is (0,1).
Answer:
The solution of f(x)=g(x) is x=0
Step-by-step explanation:
We need to find the solution of f(x)=g(X) using table.
First we draw the table for difference value of x
[tex]x[/tex] [tex]f(x)=0.5^x[/tex] [tex]g(x)=-0.5x+1[/tex]
[tex]-2[/tex] [tex]0.5^{-2}=4[/tex] [tex]-0.5(-2)+1=2[/tex]
[tex]-1[/tex] [tex]0.5^{-1}=2[/tex] [tex]-0.5(-1)+1=\dfrac{3}{2}[/tex]
[tex]0[/tex] [tex]0.5^{0}=1[/tex] [tex]-0.5(0)+1=1[/tex]
[tex]1[/tex] [tex]0.5^{1}=\dfrac{1}{2}[/tex] [tex]-0.5(1)+1=\dfrac{1}{2}[/tex]
[tex]2[/tex] [tex]0.5^{2}=\dfrac{1}{4}[/tex] [tex]-0.5(2)+1=0[/tex]
Solution of the equation when both function will get same value for same value of x.
[tex]0.5^x=-0.5x+1[/tex]
[tex]0.5^0=-0.5(0)+1[/tex]
[tex]1=1[/tex]
TRUE
In table we can see at x=0
f(0)=1
g(0)=1
f(0)=g(0)=1
Hence, The solution of f(x)=g(x) is x=0