Let f(x) = y
y = 2^x
x = 2^y
Solve for y.
ln x = ln(2^y)
ln x = y ln 2
ln x/ln 2 = y
Replace y with f^(-1) x.
f^(-1) x = ln x/ln 2
We now know f(x) and f^(-1) x.
Use your graphing calculator to graph the function and its inverse on the same xy-plane. If you don't have a graphing calculator, use DESMOS online.
Good luck.
The triangle was translated 3 units to the right horizontally. (x+3, y)
You can just move one of the points to see how it moved.
Answer:
c.18
Step-by-step explanation:
32/24=1.33333333333
40/30=1.33333333333
24/1.33333333333=18
Ans(1):
Given equation is f(x)=-1.5x+6
we can plug any number like x=0 and x=2 to find the f(x) also called y-value
plug x=0
f(x)=-1.5x+6 =-1.5*0+6 =0+6 =6
Hence first point is (0,6)
plug x=2
f(x)=-1.5x+6 =-1.5*2+6 =-3+6 =3
Hence first point is (2,3)
now we can graph both points then join them to get final graph of f(x)=-1.5x+6
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Ans(2):
We can repeat exactly same process for f(x) = -1/2x-5.
So the final graph will look like attached picture: