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The graph of function $f$ passes through $(7,-1)$. Function $g$ satisfies $f(g(x)) = x$ and $g(f(x)) = x$ for all real numbers. What point must the graph of $g$ pass through?

 Mar 19, 2022
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What point must the graph of g pass through? Function f passes through (7,-1).

 

Hello Guest!

 

f(x) = x - 8

    x      |  -4    -3    -2    -1    0   1   2   3   4 

f(x) = z | -12 -11  -10   -9   -8  -7  -6  -5  -4

 

g(z) = z + 8

g(f(x))  |  -4    -3    -2    -1    0   1   2   3   4

 

Point (-7,1) must the graph of g pass through.

laugh  !

 Mar 19, 2022
edited by asinus  Mar 20, 2022

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