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ivolga24 [154]
3 years ago
14

HELP ASAP ALGEBRA 2 QUESTION PLEASE!!!

Mathematics
1 answer:
vesna_86 [32]3 years ago
3 0
a)
f(x) is the same as y
y=1/3 x +4

<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)

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