Answer:
The option 'b' is true.
Step-by-step explanation:
Given the expression
[tex]f\left(x\right)=\frac{2}{x+7}[/tex]
A function g is the inverse of the function f if for y=f(x), x=g(y)
[tex]y=\frac{2}{x+7}[/tex]
Replace x with y
[tex]\:x=\frac{2}{y+7}[/tex]
solve for y
[tex]y=\:\:\frac{2}{x}-7[/tex]
Thus,
[tex]f^{-} (x)=\frac{-7x+2}{x}[/tex]
Therefore, option b is true.
