Recall the inverse function theorem: if f(x) has an inverse, and if f(a) = b and a = f⁻¹(b), then
f⁻¹(f(x)) = x ⇒ (f⁻¹)'(f(x)) • f'(x) = 1 ⇒ (f⁻¹)'(f(x)) = 1/f'(x)
⇒ (f⁻¹)'(b) = 1/f'(a)
Let b = 10. Then pick the function f(x) such that f(a) = 10 and f'(a) = -8 for some number a.
Answer:
The first choice is correct.
Step-by-step explanation:
First work out the common ratio r:-
a2 = a1r and a5 = a1 r^4
So r^3 = a1r^4 / a1r = 256/ 108
r = cube root (256/-108) = 4/3
So the explicit formula is 108(4/3)^(n-1)
Additive inverses are numbers that add up to zero, such as 1 and -1. Z is the additive inverse of -1/9, so z is 1.9.
1.9 + -1.9 =0.
Drag the -1.9 icon to just one mark to the right of -2 on the number line, since each dash equals 0.1. Drag z to just one mark to the left of 2 on the number line.The sum will be zero, so drag the sum icon to 0 on the number line.
Answer:
A & E
Step-by-step explanation:
Main equation: 
A. 
B. 18
C. 
D. 81
E. 6 * 6 * 6 = 216
F. 
Hope this helps!
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