Question

The graphs of ​ f(x)=2x+4 ​ and ​ g(x)=10−4x ​ intersect at (1,6) . What is the solution of the equation 2x+4=10−4x ? Enter your answer in the box.

Answer 1

x = 1, since they intersect at (1,6) and are thus equal at that point

Answer 2

The solution of the equation is:

1

Explanation:

We are two function f(x) and g(x) as:

f(x)=2x+4

and g(x)=10-4x.

We know that both the functions are linear functions.

Also the graphs of the function f(x) and g(x) intersect each other at (1,6).

Hence, the solution of the equation :

2x+4=10-4x

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

is the x-value of the point of intersection of the graph of f(x) and g(x).

Hence, the solution of the equation is:

1

( since the x-value of the point of intersection (1,6) is 1).