Question

What is the solution to f(x)=g(x) ? Select each correct answer.

Answer 1

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 2

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

 $x$       $f(x)=0.5^x$             $g(x)=-0.5x+1$

 $-2$       $0.5^{-2}=4$             $-0.5(-2)+1=2$

 $-1$       $0.5^{-1}=2$             $-0.5(-1)+1=\dfrac{3}{2}$

 $0$         $0.5^{0}=1$               $-0.5(0)+1=1$

 $1$          $0.5^{1}=\dfrac{1}{2}$             $-0.5(1)+1=\dfrac{1}{2}$

 $2$         $0.5^{2}=\dfrac{1}{4}$               $-0.5(2)+1=0$

Solution of the equation when both function will get same value for same value of x.

$0.5^x=-0.5x+1$

$0.5^0=-0.5(0)+1$

$1=1$

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