Question

What is the solution? I will mark you as the brainliest abswer!

Answer 1

Answer:

Ques 2)

solution is: x=12.266

Ques 3)

solution is: x= 0.466

Step-by-step explanation:

We are asked to find the solution such that:

            f(x)=g(x)

i.e. we have to find the value of 'x' such that both the functions are equal at that x.

Ques 2)

         $f(x)=-|x|+3$

and   $g(x)=-\sqrt{7x}$

Hence, we have to find 'x' such that:

f(x)=g(x)

This could also be done with the help of a graph i.e. we plot the graph of the function f(x) and g(x) and check the x-value of the point of intersection of the graph.

The point of intersection of the two graph is:

(12.266,-9.266)

          Hence, solution is: 12.266

Ques 3)

             $f(x)=\dfrac{3}{x+2}$

and        $g(x)=x^2+1$

Now, we will plot the graph of the two functions and check the point of intersection in order to obtain the solution.

The point of intersection of the graph of two function is:

   (0.466,1.217)

          Hence, solution is: 0.466

Answer 2

Answer:

2.

Given the functions:

$f(x) = -|x|+3$

$g(x)= -\sqrt{7x}$

We have to find the value of x.

$f(x) = g(x)$

$-|x|+3 = -\sqrt{7x}$

You can see the graph of the equations as shown below in Figure 1.

In this case, the functions intersect at one particular point.

Clearly. you can see this point is on both the functions.

then, the pair (12.266, -9.266) is the one and only solutions to these functions.

Therefore, the value of x which makes the equation f(x)=g(x) is 12.26

3.

Given the equations:

$f(x) = \frac{3}{x+2}$

$g(x) = x^2+1$

See the graph of these equations as shown below in Figure 2.

The equation:

f(x) = g(x) i.e,

$\frac{3}{x+2} = x^2+1$

Similarly in this case, the functions intersect at one particular point.

Clearly, you can see this point is on both the functions.

then, the pair (0.466, 1.217) is the one and only solutions to these functions.

Therefore, the value of x which makes the equation f(x)=g(x) is 0.46.