Find the following.
1 answer:
Answer:
(f + g)(x) = 2x
(f - g)(x) = 16
(fg)(x) = - 64
(f/g)(x) = (x + 8)/(x - 8) Domain: x < 8 ∪ x > 8
Step-by-step explanation:
(f + g)(x) = f(x) + g(x) = x + 8 + x - 8 = 2x
(f - g)(x) = f(x) - g(x) = x + 8 - (x - 8) = x + 8 - x + 8 = 16
(fg)(x) = f(x)g(x) = (x + 8)(x - 8) = - 64
(f/g)(x) = f(x)/g(x) = (x + 8)/(x - 8)
x - 8 ≠ 0
x ≠ 8
Domain: x < 8 ∪ x > 8
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The solution for the given equations x + 3y = 5 and x - 3y = -1 are x=2 and y=1.
Step-by-step explanation:
The given is,
......................................(1)
....................................(2)
Step:1
By elimination method,
Subtracting Equations (1) and (2),
( - )
( ) + (
) = (
)
= 6
= 1
Step:2
Substitute the value of y in equation (1),
+ ( 3 × 1 ) = 5
= 5-3
= 2
Step:3
Check for Solution,
Substitute the values of x and y in Eqn (1),
2 + ( 3 × 1 ) = 5
5 = 5
Result:
The solution for the given equations x + 3y = 5 and x - 3y = -1 are x=2 and y=1, by elimination method.