Question

For two functions, f(x) and g(x), a statement is made that f(x) = g(x) at x = 5. What is definitely true about x = 5?

Answer 1

When x = 5 then the function f(x) and g(x) are equal so when you insert 5 into the two functions, you will get the same answers for both of the functions. 

Answer 2

At x= 5 the value of both function are equal.

Explanation:

Given that two function f(x) and g(x)

And at x=5

f(x)=g(x)

It means when we put x=5 in the function f(x) then we get some value and when we put x= 5 in the function g(x) then we get the same value .

Hence , the value of both function at x=5 are equal and we can say that both function intersect at the point (5,0).For example,

Let we take f(x)=x-5

and g(x)=5-x

Put x=5 in the function f(x) then we get

f(x)=5-5=0

Now we put x=5 in the function g(x) then we get

g(x)=5-5=0

Hence, we get same value for both function .