Idon’t understand inverses and i need step by step for each one. me

First you have to replace each F(x) or functions like that with y. Then you swap the x (in some of your functions n) with the y. Step number three is to solve for y.

10. y=2x^5 -1

x = 2y^5 - 1

x + 1 = 2y^5

(x + 1) / 2 = y^5

[ ( x + 1 ) / 2 ] ^1/5 = y or all of the answer in brackets underneath a with the number 5

You then replace the y that is all by itself with the f^-1(x) or n

11. y = ( -5n + 20 ) / 2

12. y = - (x/2)^1/3 do the same thing as before and put it under a radical with the number three with the negative on the outside

13. y = -3n + 4

14. y = x^3 - 1

step-by-step :

answer: solve 5\cdot 2^x=2405⋅2  

x

=2405, dot, 2, start superscript, x, end superscript, equals, 240.

solution

to solve for xxx, we must first isolate the exponential part. to do this, divide both sides by 555 as shown below. we do not multiply the 555 and the 222 as this goes against the order of operations!

\begin{aligned} 5\cdot 2^x& =240 2^x& =48 \\ \end{aligned}  

5⋅2  

x

2  

x

​    

=240

=48

​

step-by-step explanation: