Answer:
Third option is correct.
Step-by-step explanation:
The given table is
x f(x)
–6 1
–3 2
2 5
5 3
8 0
If the coordinates of a function f(x) is defined as (x,y), then the coordinates of inverse of f(x) is defined as (y,x).
![[\because g(x)=(y,x)]](https://tex.z-dn.net/?f=%5B%5Cbecause%20g%28x%29%3D%28y%2Cx%29%5D)
![[\because f(x)=(x,y)]](https://tex.z-dn.net/?f=%5B%5Cbecause%20f%28x%29%3D%28x%2Cy%29%5D)
If g(x) is the inverse of f(x), then the value of f(g(y)) is y.
It is given that g(x) is the inverse of f(x), then the value of f(g(2)) is 2.
Therefore third option is correct.
Here, the given equation is,
x^2+y^2+px+6y-3=0
By copairing it with x^2+y^2+2gx+2fy+c=0, we get,
2g=p or, g=p/2
2f=6 or, f=3
c=-3
now the radius is,
r^2=g^2+f^2-c
or, 4^2=(p/2)^2 +3^2 -(-3)
or, 16= p^2/4 +9+3
or, 16-9-3=p^2/4
or p^2/4=4
or, p^2=4×4
or p^2=4^2
or p=4
therefore the rewuired value of p is 4.
Answer:
u combine like terms. hopes this helps
We are given the expression x³ - 2y² - 3x³ + z⁴. We have to evaluate it at a given set of x, y, and z values. Before then, let's combine like terms.
x³ - 2y² - 3x³ + z⁴
= -2x³ - 2y² + z⁴ <-- by combining like terms
Now we evaluate for x=3 y=5 z = -3
= -2(3³) - 2(5²) + (-3⁴) <-- by putting in for x, y, z
= -2(27) - 2(25) + 81 <--- parentheses and exponents first in order of operations
= -54 - 50 + 81 <---- multiplication is next
= -4 + 81
= 77
Thus, we evaluate and it's 77.
Answer:9
Step-by-step explanation: