232k views
4 votes
The solution to f(x)=5 is x=4 true or false? Explain why it is false or correct it to make it true ?

User Gakera
by
8.5k points

1 Answer

3 votes

Final answer:

The truth of the statement 'the solution to f(x)=5 is x=4' depends on the specific function f. To verify, we must substitute x with 4 and check if the outcome is indeed 5. If the function is quadratic, solving it may require the quadratic formula.

Step-by-step explanation:

Whether the solution to f(x)=5 is x=4 depends on the form of the function f. The statement is true only if plugging x=4 into the function f results in f(4)=5. Without knowing the explicit function f(x), we cannot determine the veracity of the statement. If we are given a particular function, such as f(x) = x + 1, we can substitute x with 4 and see if f(4) = 5. Since f(4) = 4 + 1 = 5, for this particular function, the statement would be true.

However, if f(x) does not yield 5 when x is 4, the statement is false. For example, if f(x) = 2x, then f(4) = 2(4) = 8 ≠ 5, making the statement false. In such a case, to correct it, we need to find the correct value of x that satisfies f(x) = 5. This typically involves solving the equation f(x) = 5 for x. If the equation is quadratic, we may need to use the quadratic formula to find the solution for x.

User Dymond
by
7.7k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories