Question

15 given that $(-4, -1)$ is a point on the graph of $f(x)$, what is the corresponding point on the graph of its inverse?
16 given that $(0, 8)$ is a point on the graph of $f(x)$, what is the corresponding point on the graph of its inverse?
17 given that $(1, -7)$ is a point on the graph of $f(x)$, what is the corresponding point on the graph of its inverse?
18 given that $(-6, 0)$ is a point on the graph of $f(x)$, what is the corresponding point on the graph of its inverse?

Explanation:

Step1: Swap x and y coordinates

For a point $(a,b)$ on $f(x)$, the inverse has $(b,a)$.

Step2: Apply to question 15

Point $(-4,-1)$ becomes $(-1,-4)$.

Step3: Apply to question 16

Point $(0,8)$ becomes $(8,0)$.

Step4: Apply to question 17

Point $(1,-7)$ becomes $(-7,1)$.

Step5: Apply to question 18

Point $(-6,0)$ becomes $(0,-6)$.

Answer:

1. $(-1, -4)$
2. $(8, 0)$
3. $(-7, 1)$
4. $(0, -6)$