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)
If you form a triangle with the points B and C as two of the points of the right angled triangle then you use Pythagoras to find the length of BC.
3^2+4^2=25
√25 = 5
19 i think though im pretty sure it is
Answer:
35
Step-by-step explanation:
