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
1650
1375
15400
Hope this will be helpful
Answer:
Step-by-step explanation:
5, -4
5-4=1
5(-4)=-20
Answer:
a) = Slope of line AB = 1/2
<h2><em><u>
Perpendicular = -2</u></em></h2>
<h2>b) <em><u>
y = -2x + 6</u></em></h2><h2 />
Step-by-step explanation:
a) When it is perpendicular the answer will be positive if the initial value is negative. If it is a whole number, then the perpendicular number is going to be a fraction. The opposite applies.
b) Slope = -2x
intercept = ?
y = -2x + b
0 = -6 + b
+6 +6
b = 6
<em><u>y = -2x + 6</u></em>
A because the graph of a direct proportion crosses the origin.
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