Answer: OPTION C.
Step-by-step explanation:
Given a function f(x), the range of the inverse of f(x) will be the domain of the function f(x) and the range of the domain of f(x) will be the range of the inverse function.
For example, if the point (2,1) belongs to f(x), then the point (1,2) belongs to the inverse of f(x).
Observe that in the graph of the function f(x) the point (-3,1) belongs to the function, then the point (1,-3) must belong to the inverse function.
Therefore, you need to search the option that shown the graph wich contains the point (1,-3).
Observe that the Domain f(x) is (-∞,0) then the range of the inverse function must be (-∞,0).
This is the graph of the option C.
Answer:
f^-1 (x)=x/3
Step-by-step explanation:
y=3x
x=3y
y=x/3
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Answer:
which is none of the choices provided.
Are you sure the question is right or even the choices?
You can even write it as:
but this is still not a choice.
Step-by-step explanation:
The vertex form of a quadratic is 
.
This is called vertex form because it gives you the vertex is 
.
We are given that 
which makes our equation:
.
We can find the value of 
by plugging in the x-intercept (7,0) for 
into:
Subtract 25 on both sides:
Divide both sides by 25:
.
So the equation for the quadratic is:
Let's put this into factored form since all the choices are in factored form.
This will require us to multiply the (x-2)(x-2) out:
Factor out -1:
WE need to find two numbers that multiply to be -21 and add to be -4:
