Yes choice B) 1/5 is correct. You are using the correct formula and steps. Nice work.
Here's another way to look at it:
When you visually plot the inverse, you reflect everything over the line y = x. What happens is that every (x,y) point swaps coordinates. So if (1,2) is on g(x), then (2,1) is on the inverse, and vice versa. Swapping the x and y values will swap the nature of the tangent slope.
For any tangent on g(x), its slope is m = (dy)/(dx)
The corresponding slope on the inverse will be n = (dx)/(dy). All that's happened here is that the numerator and denominator flipped. Again because x and y have swapped places. If you wanted, you can picture the xy axis where the vertical axis is the x axis and the horizontal axis is the y axis. That's effectively what is going on here.
So before you found that g'(1) = 5 meaning that m = 5/1 on g(x) at the point (1,2)
So n = 1/m = 1/5 for the point (2,1) on the inverse g function.
9514 1404 393
Answer:
Step-by-step explanation:
For this to have infinitely many solutions, the left side and right side must simplify to the same expression. The left side is already simplified, so we need to find the right numbers for the right side.
Coefficient of x:
7x = __x + 3x
4x = __x . . . . . . subtract 3x; next divide by x
4 = __ . . . . . the required x-coefficient is 4
Constant term:
-8 = 8 -__
-16 = -__ . . . . . subtract 8
16 = __ . . . . . . multiply by -1
__
The numbers that go in the boxes are 4 and 16.
3x+3 + 10x-4 +90 (because complementary angle add up to 90)
13x-1+90 (add 1)
13x/13=91 (divide 13 on both sides)
x=7
now you fill in 7 for x
m<K=24 and m<L=66
hope i helped
Answer:
4x>74+9
Step-by-step explanation:
4x+2×45
2×45x
74x×2
4x>9
4x>74+9
The answer to this question is Z = -40
