f(x) = 5/(7x-8) What is the inverse of this function?

Question

asnaseer · Answer

you need to re-arrange this equation so that you get x in terms of f(x). that will then be your inverse function.
e.g.
suppose we have f(x) = x + 1
then we can re-arrange this to get x = f(x) - 1
so the inverse function is:$$f^-1(x)=x-1$$

asnaseer · Answer

the last line should be:$$f^{-1}(x) = x-1$$

anonymous · Answer

$$y=\frac{5}{7x-8}$$Exchange the x and y variables$$x=\frac{5}{7y-8}$$solve for y (cross multiply)$$x(7y-8)=5$$$$7y-8=\frac{5}{x}$$Add 8$$7y=\frac{5}{x}+8$$Get a common denominator$$7y=\frac{5+8x}{x}$$multiply by 1/7$$y=\frac{5+8x}{7x}$$this is the inverse function

anonymous · Answer

One characteristic of a function and its inverse is that they are symmetric about the line y=x