If f(x) is the inverse of g(x), then f(g(x))=f(g(x))=x
or we can do it the hard way and solve for the inverses (I'm too lazy to do that)
I'm assuming you means g(x)=(x-4)/2
so
show that f(g(x))=g(f(x))=x
first do f(g(x))
f(g(x))=2((x-4)/2)+4
f(g(x))=x-4+4
f(g(x))=x
g(f(x))=(2x+4-4)/2
g(f(x))=(2x)/2
g(f(x))=x
both equal x and x=x so f(g(x))=f(g(x))=x
they are iinverses
if you did want to solve then
do, f(x)=y, then swtich all x and y then solve for x
example
f(x)=2x+4 then y=2x+4 then x=2y+4 then x-4=2y then (x-4)/2=y=g(x)
then reverse it to get the other inverse thing
Answer:
Graph.
g
(
x
)
=
−
1
2
⋅
(
x
+
6
)
2
+
3
f
(
x
)
=
x
2
Step-by-step explanation:
Answer:
1. y = (1/6)(x +5)^2 -4.5
2. y = (-1/20)(x -10)^2 +1
Step-by-step explanation:
For focus (p, q) and directrix y=r, the equation is ...
y = 1/(2(q-r))·(x -p)^2 +(q+r)/2
___
1. For (p, q) = (-5, -3) and r = -6, the equation is ...
y = 1/(2(-3-(-6))(x -(-5))^2 +(-3-6)/2
y = 1/6(x +5)^2 -4.5
___
2. for (p, q) = (10, -4) and r = 6, the equation is ...
y = 1/(2(-4-6))(x -10)^2 +(-4+6)/2
y = (-1/20)(x -10)^2 +1
Answer:
true
Step-by-step explanation:
genotypes are genes you get and phenotype are traits that you get
Answer:
Step-by-step explanation:
50x-10+8x+16=180
58x+6=180
58x=174
x=3
Angle of LOG
50x-10
50(3)-10
150-10
140 degrees
Angle of GOT
8x+16
8(3)+16
24+16
40 degrees
Angle of LOT is 180 degrees