What is the answer to -4
1 answer:
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<h2>Answer:</h2><h3>False</h3><h2>Step-by-step explanation:</h2>
Let's find the inverse function of to know whether this function has an inverse function
. So let's apply this steps:
a) Use the Horizontal Line Test to decide whether has an inverse function.
Given that f(x) is a cubic function there is no any horizontal line that intersects the graph of at more than one point. Thus, the function is one-to-one and has an inverse function.
b) Replace by
in the equation for
.
c) Interchange the roles of and
and solve for
d) Replace by
in the new equation.
So this is in fact the inverse function and it isn't the same given function. Therefore, the statement is false
Given:
The point (15,-11) is on the graph of a one-to-one function f(x).
To find:
The a point on the graph of .
Solution:
We know that, if the points on the graph of a one to one function are given by (x,y), then the points on the graph of its inverse function are given by (y,x).
In the point (15,-11).
x-coordinate = 15
y-coordinate = -11
In the inverse function,
x-coordinate = -11
y-coordinate = 15
Therefore, the required point on the graph of is (-11,15).