Given the function $ f(x) = 4|x-5| + 3 $, for what values of $ x $ is $ f(x) = 15 $?

A. $ x = 2, x = 8 $

B. $ x = 1.5, x = 8 $

C. $ x = 2, x = 7.5 $

D. $ x = 0.5, x = 7.5 $

To find the values of x for which f(x) is equal to 15, we need to solve the equation 4|x-5|+3 = 15. The values of x are 2 and 8. Therefore the correct answer is: a)

Explanation:

To find the values of x for which f(x) is equal to 15, we need to solve the equation 4|x-5|+3 = 15.

First, subtract 3 from both sides to get 4|x-5|=12.

Divide both sides by 4 to get |x-5| = 3.

We know that the absolute value of a number is equal to the number itself or its negative value, so we have two cases:

Case 1: x-5 = 3. Solve for x to get x = 8.

Case 2: x-5 = -3. Solve for x to get x = 2.

Therefore, the values of x for which f(x) is equal to 15 are x = 2 and x = 8.

Given the function \( f(x) = 4|x-5| + 3 \), for what values of \( x \) is \( f(x) = 15 \)?A. \( x = 2, x = 8 \)B. \( x = 1.5, x = 8 \)C. \( x = 2, x = 7.5 \)D. \( x = 0.5, x = 7.5 \)

Answer :

Final answer:

Explanation:

Other Questions

Given the function \( f(x) = 4|x-5| + 3 \), for what values of \( x \) is \( f(x) = 15 \)?

A. \( x = 2, x = 8 \)

B. \( x = 1.5, x = 8 \)

C. \( x = 2, x = 7.5 \)

D. \( x = 0.5, x = 7.5 \)