Question

Given the function f(x) = –0. 5|2x 2| 1, for what values of x is f(x) = 6? x = 6, x = –5 x = 5, x = –5 x = 7, x = –6 no solution.

Answer 1

There is no solution for the given function $\rm f(x) = -0.5|2x+2|+1$ when f(x) = 6 option fourth is correct.

It is given that the function  $\rm f(x) = -0.5|2x+2|+1$

It is required to find the values of x when f(x) = 6

What is a function?

It is defined as a special type of relationship and they have a predefined domain and range according to the function.

We have a function:

$\rm f(x) = -0.5|2x+2|+1$

And f(x) = 6

Putting the value of f(x) in the above equation, we get:

$\rm 6 = -0.5|2x+2|+1$   or

$\rm -0.5|2x+2|+1= 6\\\\\rm -0.5|2x+2|= 6-1\\\\\rm -0.5|2x+2|+5\\\\\rm |2x+2|= \frac{5}{-0.5} \\\\\rm |2x+2|= -10$

Here we can see the mod function values is negative which is not possible, hence there is no solution for the above equation for any 'x'

Thus, there is no solution for the given function $\rm f(x) = -0.5|2x+2|+1$ when f(x) = 6.

Learn more about the function here:

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