CPhill

Very nice, happy7  .......  !!!!

The inverse f is  y = x - 1      And the inverse of g is y = x/2

g(f(5) sanys to put 5 into f and then evaluate this in g =  2(5 +1) = 2(6)  = 12

And we want to put this result into the inverse of f = 12 - 1 = 11

And we want to put this result into f inverse, again  = 11 - 1 = 10

And we want to put this result into g inverse = 10/2 = 5

Finally, we want to put this result into f  = 5 + 1 = 6

30 6 9 5 and 8

30 + (6-5) + (9-8) =

30 + 1 + 1   =

32

(&4)  means to put 4 into x + 5  = 4 + 5   = 9

And #(&4)  means to put the result of &4 into #....so we have.....

#(&4) = #(9) = (9)²  = 81

Notice that when n is odd....then  (-3)ⁿ is negative......and when n is even, (-3)ⁿ is even.....thus, as n increases (or decreases), (-3)ⁿ  neither increases or decreases......it "oscillates"  between "negative" and "positive"

Nothing shows up.......!!!

We have

3[8x + 7 ] + 8 = 7   simplify

24x + 21 + 8  = 7

24x + 29  = 7    subtract 29 from both sides

24x = -22         divide both sides by 24

x = -22/24 = -11/12

Let's go through this....

- (x - 3) - 4(x - 1) = 14       simplify on the left

-x + 3 - 4x + 4 = 14

-5x + 7  = 14        subtract 7 from both sides

-5x  = 7               divide both sides by -5

x = -7/5

That's an excellent answer, happy7......no matter how you spell it .....!!!!

0.03 + 0.035x = 2.48     multiply both sides by 1000 to clear the decimals

30 + 35x = 2480   subtract 30 from both sides

35x = 2450          divide both sides by 35

x = 70