Question

The graph below shows where the two functions y = f(x) and y = g(x) intersect. Solve the equation f(x) = g(x).

Answer 1

Answer: (-2, 2) and (4, 8)

There are two solutions because the two functions cross each other twice.

Answer 2

The solutions of the equation f(x) = g(x) are (4, 8) and (-2, 2).

We have a graphical representation of two functions f(x) and g(x) and where they intersect.

We have to solve the equation f(x) = g(x)

Two functions A(x) and B(x) are plotted on the graph such that these these two functions intersect each other at three different coordinates. The total number of solutions possible for - A(x) = B(x) is ?

The total number of solutions can be calculated by counting the points at which these curves intersect each other. Hence, the total number of possible solutions are 3.

In the question given - We have a straight line and a parabola -

Now, we just have to look at the points at which these two graphs intersect each other. It can be seen that - both the graphs cut each other at coordinates - (4, 8) and (-2, 2).

Hence, the solutions of the equation f(x) = g(x) are (4, 8) and (-2, 2).

Alternative Method -

The general equation of straight line is : y = mx + c and that of parabola is : y = $\sqrt{4ax}$

The solution can be calculated by equating both of the above expressions and solving them.

mx + c = $\sqrt{4ax}$

To solve more questions on solving the equations, visit the link below -

https://brainly.com/question/1386163

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