Answer:
D. [tex]h(x)= \frac{x}{2}+5[/tex]
Step-by-step explanation:
our function is
f(x)=2x-10
we are asked to determine the inverse of the above function . In order to do so we put f(x) = y and separate x in terms of y and in the final answer , we replace x with y and x with h(x)
let us see how do we do that
y=2x-10
adding 10 on both side
y+10=2x
dividing both sides by 2 we get
[tex]\frac{y+10}{2}=x[/tex]
[tex]x= \frac{y}{2}+\frac{10}{2}[/tex]
[tex]x= \frac{y}{2}+5[/tex]
we replace x with y and x with h(x)
[tex]h(x)= \frac{x}{2}+5[/tex]
Hence
option D is correct
