Question 1165125
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(1) g^-1(-2) is the x value that produces a y value of -2.  From the given definition of g, that value is 2.<br>
(2) h^-1(x)...<br>
The formal algebraic approach: switch x and y and solve for the new y.<br>
{{{y = 2x+9}}} --> {{{x = 2y+9}}}<br>
Solve for y:<br>
{{{2y = x-9}}}
{{{y = (x-9)/2}}}<br>
 A simple way to find the inverse of a function for many relatively simple functions....<br>
The function h(x) does this to the input: (1) multiply by 2; (2) add 9.<br>
The inverse function has to "get you back where you started".  To do that, it has to (1) subtract 9; (2) divide by 2.<br>
So the inverse function is {{{y = (x-9)/2}}}<br>
(3) By the definition of an inverse function, (h∘h^-1)(A)=A, so (h∘h^-1)(7)=7.<br>