Answer:
Step-by-step explanation:
f * g = (x^2 + 3x - 4) (x+4)
open bracket
x((x^2 + 3x - 4) + 4 (x^2 + 3x - 4)
x³ +3x²-4x+x²+12x-16
x³+3x²+x²-4x+12x-16
x³+4x²+8x-16 (domain is all real numbers.
f/g = (x^2 + 3x - 4)/(x+4)
factorising (x^2 + 3x - 4)
x²+4x-x_4
x(x+4) -1 (x+4)
(x+4)(x-1)
f/g = (x^2 + 3x - 4)/(x+4) =(x+4)(x-1)/(x+4) = (x-1)
Before factorisation, this was a rational function so the domain is all real numbers excluding any value that would make the denominator equal zero.
Hence I got x - 1, and x cannot equal -4
So the domain is just all real numbers without -4
Its c because 6*4 = 24
Thats how you find the area
Isolate the y to one side so we get: y = 2x - 1
The slope of the line is 2.
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<u><em>Answer:</em></u>either y = 4.5
or y = -4.5
<u><em>Explanation:</em></u>To get the solution, we will need to isolate the y on one side of the equation.
<u>This can be done as follows:</u>
4y</span>²<span> = 81
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
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y</span>²<span> = 20.25
y = +/- </span>√(20.25)<span>
either y = +</span>√<span>(20.25) = 4.5
or y = -</span>√<span>(20.25) = -4.5
Since there are no restrictions on the value of y, therefore, both answers would be accepted
Hope this helps :)</span>