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4 years ago

6

“If f(x) and it’s inverse function, f^-1(x), are both plotted on the same coordinate plane, where is their point of intersection

?”

1 answer:

Ghella [55]4 years ago

7 0

Answer:

it is not always possible to find their intersection point for e.g take

y=x-1 it's inverse is y=x+1 so their is no intersection point but generally u find intersection points by equalizing their functions

f(x)=f^-1(x)

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Vitek1552 [10]

so we have a table of values, with x,y coordinates, so let's use any two of those points to get the slope of the table and use the point-slope form to get its equation

$~\hspace{2.7em}\stackrel{\textit{let's use}}{\downarrow }\qquad \stackrel{\textit{and this}}{\downarrow }\\\begin{array}{|lr|r|r|r|r|}\cline{1-6}x&0&1&2&3&4\\y&-1&3&7&11&15\\\cline{1-6}\end{array}\\\\[-0.35em]\rule{34em}{0.25pt}\\\\(\stackrel{x_1}{1}~,~\stackrel{y_1}{3})\qquad(\stackrel{x_2}{4}~,~\stackrel{y_2}{15})$

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