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)
Answer:
42 ft²
Step-by-step explanation:
Rectangle Area: L * W
Answer:
87
——— = 0.87000
100
Step-by-step explanation:
Answer:
a² + 4ab + 4b²
Step-by-step explanation:
Given
(a + 2b)²
= (a + 2b)(a + 2b)
Each term in the second factor is multiplied by each term in the first factor, that is
a(a + 2b) + 2b(a + 2b) ← distribute both parenthesis
= a² + 2ab + 2ab + 4b² ← collect like terms
= a² + 4ab + 4b²
Answer:
x=9
<A=23
<B= 69
Step-by-step explanation:
1. 2x+5+3(2x+5)=92 2. 2x+5+6x+15=92 3. 8x+20=92 4. 8x=72 5. x=9
<A= 2(9)+5=18+5=23
<B= 3(2(9)+5)=3(23)=69
