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? Both f(x) and g(x) cross the x-axis at 5.

Both f(x) and g(x) cross the y-axis at 5.
Both f(x) and g(x) have a maximum or minimum value at x = 5.
Both f(x) and g(x) have the same output value at x = 5.

Answer 1

f(5) = g(5)
In words, this means, when input if 5, both f and g would produce the same output.

SO option D :)

Answer 2

Answer: 'Both f(x) and g(x) have the same output value at x = 5' is true statement.

Explanation:

Since, for a function f(x), x is the input value and f(x) is the output value,

Here, f(x) and g(x) are two functions,

Such that f(x) = g(x) at x = 5,

⇒ The output value of both function is equal for the input value of x.

⇒ Fourth option is the true statement.

Note : For other options, the adequate information is not given.

That's why we can not say them true.