You have f(x)=(<span>6x+9)/(x-5) and want to find the inverse function? Please note that the parentheses are obligatory here.
1. Replace "f(x)" with y: y = </span>(6x+9)/(x-5)
<span>
2. Interchange the variables x and y: x</span> = (6y+9)/(y-5)
3. Solve this result for y: x(y-5) = (6y+9), or xy-5x = 6y+9. Then:
xy-6y = 9 + 5x, or y(x-6) = 9+5x
9+5x
Then y = --------------
x-6
Here x may not = 6, because division by zero would occur otherwise.
Answer:
V=π*(2x^3+35x^2+176x+192)units^3
Step-by-step explanation:
V=πr^2h
r=x+8
h=2x+3
V=π*(x+8)^2*2x+3
=π*(x^2+16x+64)*2x+3
=π*(2x^3+32x^2+128x+3x^2+48x+192)
=π*(2x^3+35x^2+176x+192)
Volume of the cylinder=π*(2x^3+35x^2+176x+192)units^3
If the functions are inverses, then f(g(x)) = x.
A.
The functions are inverses of each other.
B. The domain of f(x) = x≠3. The domain of g(x) is x≠0.
The domain of f(g(x)) is (-∞, 0) ∪ (0, ∞).
The domain of g(f(x)) is (-∞, 3) ∪ (3, ∞).
Answer:
16
Step-by-step explanation:
step 1: 3 x 7 = 21
so you're left with this 21-25/5
step 2: 25/5=5
left with 21-5
step 3: 21-5=16
16 should be the right answer, sorry if i'm wrong
