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11. Examine the graph below. a) What is (g–f)(1)? b) What isf(g(1))?a) -3; -2b) -3; 0c) 3; -2d) 0; 0...

Question

11. Examine the graph below. a) What is (g–f)(1)? b) What isf(g(1))?a) -3; -2b) -3; 0c) 3; -2d) 0; 0

11. Examine the graph below. a) What is (g–f)(1)? b) What is f(g(1))? a) -3; -2 b) -3; 0 c) 3; -2 d) 0; 0



Answers

If $(-2,3)$ is a point on the graph of a one-to-one function $f$ which of the following points is on the graph of $f^{-1} ?$ $$ \begin{array}{llll}{\text { (a) }(3,-2)} & {\text { (b) }(2,-3)} & {\text { (c) }(-3,2)} & {\text { (d) }(-2,-3)}\end{array} $$

Hey there. So for the function of we have a point *** two and three. So for the inverse f will have the corresponding point three and negative to write. Simply swap places between accent.

Okay, since uh minus 23 is a point on the graph of 1 to 1 function. Okay, so, well, this F and we want to find F inverse, right? So we just inverse the X axis and the Y axis, right? So the point on the X axis becomes a point on the Y axis. The point on the Y axis becomes a point on the X. Exposition, Right? So we have three minus two. So this one we should choose a.

According to a given person, we can say that one comma tree is your point on light weirdo FX. So there's one common trees a point so we can say that here at X, equal to one. So we'll write. F one is equal. Do tree the and execute one value of Why is three No for Why will do off affection then we have excellent According to one we're getting, why go toe to f one? So this is to my replied with three which is coming as six. So we can say that the point here is at Sizzler and why you six So one commit sticks, which is obstinacy so see often is going down support this.

So we're looking at a function that's defined as why equals f of X. And we want to know what happens when it gets transformed to becoming. Why equals two times halfbacks. So if we if we know that the ordered pair one comma three is on here Well, this is another way of saying the f of X, which is our output. All right, we really can write this, as which why is equal to f of X, then what were conduce? Oh, is simply say, well, why is equal to two times that output so we could say y is equal to six. But the original order hair had one as its X value, and so will our new ordered pair. So one comma six. So basically, you're taking the two and multiplying it by the original output.


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