Question

I need help i'm struggling with this work

Answer 1

Answer:

$y=0.5x+2$

Step-by-step explanation:

Finding the inverse of a function is essentially finding the complete opposite of a given function. An easy trick can be used to find the inverse of a function. This trick is essentially thinking of the evaluator (f(x)) as another variable. Solve the function for (x) in terms of (f(x)); use inverse operations to do so. After completing this process, rewrite the function such that it is in the inverse function notation; switch the position of the (f(x)) and the (x), then indicate that it is an inverse function.

$f(x)=2x-4$

Inverse operations,

$f(x)=2x-4$

$f(x)+4=2x$

$\frac{f(x)+4}{2}=x$

Simplify,

$0.5f(x)+2=x$

Rewrite in inverse function notation,

$f^-^1(x)=0.5x+2$

$y=0.5x+2$

Answer 2

I believe the correct answer is C I could be wrong tho