Answer:
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Step-by-step explanation:
Answer:
32. ∛((x-7)/4) = f^(-1)(x)
33. -10x - 9
Step-by-step explanation:
32. We want to switch f(x) and x, and then solve for f(x) to get the inverse.
x = 4f(x)³ + 7
subtract 7 from both sides
x -7 = 4f(x)³
divide both sides by 4
(x-7)/4 = f(x)³
cube root both sides
∛((x-7)/4) = f(x)
make f(x) f^(-1)(x) because this is now the inverse
∛((x-7)/4) = f^(-1)(x)
the second answer is correct
33. for composition, we can treat (f · g) (x) as attached picture (content filter!), so we plug g(x) into f(x). This results in
2(-5x-7) + 5
expand
-10x - 14 + 5
add
-10x - 9
the second answer is correct
Answer:
6 years
Step-by-step explanation:
Simple interest= P.R.T
I = $1300
P = 18000 deposit
Rate = 1.19%
T = ?
Putting into the formula we have
1300 = 18000x1.19/100xT
1300 = 18000x0.0119xT
1300 = 214.2T
Divide through to get T
T = 1300/214.2
= 6.069
So when we approximate T = 6 years
It would take 6 years to make $1300 in interest
Answer: √290 ≈ 17.029386366.