Please help with 32 and 33, thank you.
1 answer:
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
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Answer:
The correct options are a,b,e and f.
Step-by-step explanation:
It is given that the nth terms of the series is defined as
Subtract 17 from both the sides.
Divide both sides by 3.
The term Tₙ is a term of given series if n is a positive integer.
(a) The given term is 80.
Since n is a positive integer, therefore 80 is a term of given series.
(b) The given term is 170.
Since n is a positive integer, therefore 170 is a term of given series.
(c) The given term is 217.
Since n is not a positive integer, therefore 217 is a term of given series.
(d) The given term is 312.
Since n is not a positive integer, therefore 312 is a term of given series.
(e) The given term is 278.
Since n is a positive integer, therefore 278 is a term of given series.
(f) The given term is 3566.
Since n is a positive integer, therefore 3566 is a term of given series.
Thus, the correct options are a, b, e and f.