Inverse
replace f(x) wih y
solve for x
replace x with f⁻¹(x) and y with x
so
f(x)=3x+5/7
replace
y=3x+5/7
solve for x
minnus 5/7 both sides
y-5/7=3x
divide both sides by 3
=x
replace with f⁻¹(x)
f⁻¹(x)=
Answer:
C
Step-by-step explanation:
Given
6(x + 4) = 2(y + 5) ← distribute parenthesis on both sides of the equation
6x + 24 = 2y + 10 ( subtract 10 from both sides )
6x + 14 = 2y ( divide all terms by 2 )
3x + 7 = y, hence
y = 3x + 7 → C
Answer:
Interest = $ 90000
Step-by-step explanation:
Given, Principal= $15000
Rate = 3%
Time = 5 years
Interest = P × R × T/100
Therefore, Interest = 15000 × 3 × 5/100
(dividing 100 by 5 to get 20)
= 15000 × 3 × 20
= 90000
if it helps don't forget to like and mark me down
Answer:
V = 33.49
Step-By-Step Explanation:
V = 4/3πr³
V = 4/3×π×2³
V = 4/3×π×8
V = 4/3×25.12
V = 33.49333...
Shortened
V = 33.49
Answer:
f(x) = 
is the required polynomial.
Step-by-step explanation:
Given the zeroes (roots) of the polynomial are 
and 
.
We know that complex roots occur in conjugate pairs.
So, this means that 
and 
would also be the roots of the polynomial.
If 
are to be the roots of the polynomial then the polynomial should have been: 
.
Now, to determine the polynomial for which 
would be the roots.
Roots of the polynomial are nothing but the values of x (any variable) that would make the polynomial zero.
⇒ 
⇒ 
The required polynomial would be the product of all the above polynomials.
Multiply this to get the required equation.
⇒
∴ The required polynomial is x⁴ - 2x³ + 49x² - 18x + 360 = 0.
