The graphs of f(x)=−32x+2 and g(x)=3x−10 intersect at (2, −1)
2 answers:
Answer:
The solution of the equation is 2.
Step-by-step explanation:
The given functions are
It is given that the graph of f(x) and g(x) intersects each other at (2,-1).
The given equation is
The solution of this equation is the value of x where both the functions are eqaul.
Since both functions are equal at x=2, therefore the solution of the equation is 2.
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Answer:
x ∈ (-∞, -1) ∪ (1, ∞)
Step-by-step explanation:
To solve this problem we must factor the expression that is shown in the denominator of the inequality.
So, we have:
So the roots are:
Therefore we can write the expression in the following way:
Now the expression is as follows:
Now we use the study of signs to solve this inequality.
We have 3 roots for the polynomials that make up the expression:
We know that the first two are not allowed because they make the denominator zero.
Observe the attached image.
Note that:
when
when
and
is always
Finally after the study of signs we can reach the conclusion that:
x ∈ (-∞, -1) ∪ (1, 2] ∪ [2, ∞)
This is the same as
x ∈ (-∞, -1) ∪ (1, ∞)
