Question

Given a function f(x)=|7-4x| ,find the objects with an image 11

Answer 1

Given the function f(x) defined as:

`f(x)=|7-4x|`

If the image is 11, the corresponding objects (x-values) are:

`\begin{gathered} |7-4x|=11 \\ 7-4x=11\ldots(1) \\ 7-4x=-11\ldots(2) \end{gathered}`

Solving (1) to find the first object:

`\begin{gathered} 7-4x=11 \\ 7-11=4x \\ -4=4x \\ x=-1 \end{gathered}`

Now, we solve (2) to find the second object:

`\begin{gathered} 7-4x=-11 \\ 7+11=4x \\ 18=4x \\ x=4.5 \end{gathered}`

Answer: -1 and 4.5