The value of (f - g)(x) is -x² + 3x + 7.
<h3>What is Function?</h3>
The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.
Here, the given functions are;
f(x) = 3x + 1
g(x) = x² - 6
Now,
(f - g)(x) = f(x) - g(x)
= (3x + 1) - (x² - 6)
= 3x + 1 - x² + 6
(f - g)(x) = -x² + 3x + 7
Thus, the value of (f - g)(x) is -x² + 3x + 7.
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Solve equation for y.
5x - y = 3
-y = -5x + 3
y = (-5x + 3)/(-1)
y = 5x - 3
The slope for this equation is 5.
The slope of the equation we want is the negative reciprocal of 5.
Let m = slope of equation we want.
m = -1/5
We are given the point (10,4).
Plug both into the point-slope formula.
y - 4 = (-1/5)(x - 10)
y - 4 = (-1/5)x + 2
y = (-1/5)x + 2 + 4
The equation we want is
y = (-1/5)x + 6
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Step-by-step explanation:
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Answer:
18x + 13y = 60
6x + 2y = 6 ---> 6x = -2y +6 ---> 18x = -6y+18
Substitution
(-6y +18)+13y =60
-18 -18
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7y = 42 so y=6
Then, 6x + 2(6) =6, which you will get x = -1
(-1, 6)
