Let's solve this inequality!
What can we do to solve this inequality? Well, first of all, we can add -7 and 35:
Now, move 20 to the right, using the opposite operation:
Subtract:
Divide both sides by -1 to isolate x:
(Answer)
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<em>Additional comment</em>
When we divide both sides of an inequality by a negative number, we flip the inequality sign.
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I hope you find it helpful.
Feel free to ask if you have any questions.
We have been given a graph of function g(x) which is a transformation of the function
Now we have to find the equation of g(x)
Usually transformation involves shifting or stretching so we can use the graph to identify the transformation.
First you should check the graph of
You will notice that it is always above x-axis (equation is x=0). Because x-axis acts as horizontal asymptote.
Now the given graph has asymptote at x=-2
which is just 2 unit down from the original asymptote x=0
so that means we need shift f(x), 2 unit down hence we get:
but that will disturb the y-intercept (0,1)
if we multiply by 3 again then the y-intercept will remain (0,1)
Hence final equation for g(x) will be:
