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3 years ago

10

Calculate: a+x 2 − a−x 2 , if a=−2; x=−6

1 answer:

babunello [35]3 years ago

8 0

0, because ur doing a-a and 2x-2x which equals nothing

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Given that f(x)= x^3/4 +6<br> a) Find f(4)<br> b) Find f^-1(x)<br> c) Find f^-1(8)

Anna35 [415]

a)

$f(4)=\dfrac{4^3}{4}+6=4^2+6=16+6=22$

b)

$\begin{aligned}\\&y=\dfrac{x^3}{4}+6\\&4y=x^3+24\\&x^3=4y-24\\&x=\sqrt[3]{4y-24}\\&f^{-1}(x)=\sqrt[3]{4x-24}\end$

c)

$f^{-1}(8)=\sqrt[3]{4\cdot8-24}=\sqrt[3]{8}=2$

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