Question

What is the inverse of the function shown?

Answer 1

Answer:

The inverse is y = x + 5

Step-by-step explanation:

The general equation of a straight line is;

y = mx + c

In this case , the y-intercept is -5

So the partial equation is;

y = mx - 5

To get m, we use the x-intercept

The x-intercept coordinate is (5,0)

Insert this in the equation , we have;

0 = 5m-5

5m = 5

m = 5/5

m= 1

The equation of the line is thus;

y = x-5

So we want to find the inverse of this;

Replace x with d

y = d-5

Make d the subject of the formula

d = y + 5

replace d with x

x = y + 5

now replace x with y

So we have

y = x + 5