Inverse, baseically
replace f(x) with y
switch all x and y
solve for y
replace y with f⁻¹(x)
f(x)=6(x+2)-3
replace with y
y=6(x+2)-3
switch x and y
x=6(y+2)-3
solve for y
x=6y+12-3
x=6y+9
minus 9
x-9=6y
divide 6
1/6x-3/2=y
replace
f⁻¹(x)=1/6x-3/2
when x=21
f⁻¹(21)=1/6(21)-3/2
f⁻¹(21)=21/6-3/2
f⁻¹(21)=21/6-9/6
f⁻¹(21)=12/6=
f⁻¹(21)=2
answer is f⁻¹(21)=2
inverse function is
f⁻¹(x)=1/6x+3/2
Answer:
Step-by-step explanation:
Let the number be x.
Peter halves the number and gets an answer of 25.5.
It means,
Half of x equals 25.5. So,
or
Hence, the required equation is .
Amount of the mortgage after down payment is
160,000−160,000×0.2=128,000
Now use the formula of the present value of annuity ordinary to find the yearly payment
The formula is
Pv=pmt [(1-(1+r)^(-n))÷r]
Pv present value 128000
PMT yearly payment?
R interest rate 0.085
N time 25 years
Solve the formula for PMT
PMT=pv÷[(1-(1+r)^(-n))÷r]
PMT= 128,000÷((1−(1+0.085)^(
−25))÷(0.085))
=12,507.10 ....answer
Answer:
(2,5)
Step-by-step explanation:
x+2(x+3)=12
x+2x+6=12
3x+6=12
Subtract 6 from 6 and 12.
3x/3=6/3
x=2
Plug x into original equation.
y=2+3
y=5