Question

find the inverse of the one-to-one function 7x+5

Answer 1

The given function is:
y = 7x + 5
To find its inverse, follow these steps:
1. Switch x and y
2. Solve for y
The new y function is the inverse of the original y function.

Answer 2

so i got x=y+5/7 is that right?

Answer 3

y = 7x + 5
Switch x and y:
x = 7y + 5
Switch sides:
7y + 5 = x
Subtract 5 from both sides:
7y = x - 5
Divide both sides by 7:
y = (x - 5)/7
y = (1/7)x - 5/7
\(y = \dfrac{1}{7}x - \dfrac{5}{7} \)

Answer 4

That is how you do it. Notice that the 5 is subtracted from y, not added.

Answer 5

word