<span>to find inverse, swap and x and y: x=1/3 y + 4 x-4= 1/3 y (x-4) x 3 = y 3x -12= y the inverse(g(x)), is: 3x-12
b) </span><span>if f(x) and g(x) are inverses of each other, than </span><span><span> (f<span> о
</span><span>g)(x)</span></span> will end up with just "x" </span> <span>(f о
<span>g)(x)=x </span></span><span>(f о
<span>g)(x)= f(g(x)) </span></span><span>(f о
<span>g)(x)= f(3x-12) </span></span><span>(f о
<span>g)(x)= 1/3(3x-12)+4 </span></span><span>(f о
<span>g)(x)= (3x-12)/3 +4 </span></span><span>(f о
<span>g)(x)= x-4+4 </span></span><span>(f о
<span>g)(x)= x
</span></span>c) <span>You will find that the graphs are mirror images of each other </span>
the graph for f(x) is an oblique line that passes through the
points(-12,4) the graph for g(x) is an oblique line that passes
through the points(4,-12)