Question

Find the inverse: f(x)=5/2x+5

Answer 1

`f(x)=(5)/(2)x+5\to y=(5)/(2)x+5\\\\\text{we exchange x with y and y with x}\\\\(5)/(2)y+5=x\\\\\text{solve for y}\\\\(5)/(2)y+5=x\ \ \ \ |-5\\\\(5)/(2)y=x-5\ \ \ \ |\cdot2\\\\5y=2x-10\ \ \ \ |:5\\\\\boxed{y=(2)/(5)x-2}`

`\boxed{f^(-1)(x)=(2)/(5)x-2}`