<h3>Answer:
![f^{-1}(x) = -6+\sqrt[3]{x}](https://tex.z-dn.net/?f=f%5E%7B-1%7D%28x%29%20%3D%20-6%2B%5Csqrt%5B3%5D%7Bx%7D)
</h3>
======================================================
Explanation:
Replace f(x) with y.
Swap x and y, then solve for y to get the inverse.
![f(x) = (x+6)^3\\\\y = (x+6)^3\\\\x = (y+6)^3\\\\\sqrt[3]{x} = y+6\\\\y = -6+\sqrt[3]{x}\\\\f^{-1}(x) = -6+\sqrt[3]{x}\\\\](https://tex.z-dn.net/?f=f%28x%29%20%3D%20%28x%2B6%29%5E3%5C%5C%5C%5Cy%20%3D%20%28x%2B6%29%5E3%5C%5C%5C%5Cx%20%3D%20%28y%2B6%29%5E3%5C%5C%5C%5C%5Csqrt%5B3%5D%7Bx%7D%20%3D%20y%2B6%5C%5C%5C%5Cy%20%3D%20-6%2B%5Csqrt%5B3%5D%7Bx%7D%5C%5C%5C%5Cf%5E%7B-1%7D%28x%29%20%3D%20-6%2B%5Csqrt%5B3%5D%7Bx%7D%5C%5C%5C%5C)
To solve for y, I first applied the cube root to both sides. Then I subtracted 6 from both sides.
Answer:
ST = 8 m
Step-by-step explanation:
Since ∆PQR is congruent to ∆STU, therefore, the three sides of ∆PQR would be congruent or equal to the corresponding three sides of ∆STU.
PQ corresponds to ST.
Therefore, PQ is congruent to corresponding side ST, which is 8 m
ST = 8 m
Answer:
tan A = 28/45
Step-by-step explanation:
opposite side
the tangent function is defined as tan A = ------------------------
adjacent side
Here the length of the side opposite angle A is 28 and that of the side adjacent to A is 45. Thus, the tangent of angle A is
tan A = 28/45
Answer:
20
Step-by-step explanation:
15/75 %%:$%;%%_"$*^/%#
Since their were no numbers to the questions i had to write it by the problem
Circle with 9 feet question
C=2(pi)r or C=(pi)d
Circular table question
A=(pi)r^2
Interest question
I=Prt
Volume of a rectangular prism
V=Bh
Triangular pyramid
V=1/3Bh