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5 votes
Which function below is the inverse of f(x) = x2 − 9?

2 Answers

6 votes
f (x)=y
y=2x-9


X Y
-2 -15 y=2 (-2)-9
y=-4+-9
y=-15

-1 -11 y=2 (-1)-9
y=-2+-9
y=-11

0 -9 y=2 (0)-9
y=0+-9
y=-9

1 -7 y=2 (1)-9
y=2+-9
y=-1

2 -5 y=2 (2)-9
y=4+-9
y=-5

Here is all the work
User Dooie
by
7.8k points
4 votes
Let f(x)=y
y=
x^(2) -9
Make x the subject of the formula;
y+9=
x^(2)
x=
√(y+9)
So, the inverse of the function is thus;

f^(') = √(x+9)
User Mdolbin
by
7.5k points

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