Answer:
A) f^-1(x)=(x-8)^3+2
Step-by-step explanation:
To find the function inverse, switch the x with y and solve for y.
![y=\sqrt[3]{x-2}+8 \\\\x=\sqrt[3]{y-2}+8\\\\(x-8)^3 = y-2\\\\ (x-8)^3 + 2 = y](https://tex.z-dn.net/?f=y%3D%5Csqrt%5B3%5D%7Bx-2%7D%2B8%20%5C%5C%5C%5Cx%3D%5Csqrt%5B3%5D%7By-2%7D%2B8%5C%5C%5C%5C%28x-8%29%5E3%20%3D%20y-2%5C%5C%5C%5C%20%28x-8%29%5E3%20%2B%202%20%3D%20y)
The domain is (-3,0) U (2,4)
The range is (-2,-1) U (1,2)
Get like terms together. you might have to move across the equals sign
3x-x=-6+82
2x=76
x=38
Answer:

Step-by-step explanation:

==> simplify using the power of a power rule

Power of a power rule

explanation of rule : multiply the two powers and keep the base the same
0.7x-1.4=-3.5
Add 1.4 to both sides:
0.7x=-2.1
Divide 0.7 to both sides:
x=-3