If f(x) = 8 – 10x and g(x) = 5x + 4, what is the value of (fg)(–2)?

Asked by maham237 @ 29/11/2020 in Mathematics viewed by 411 People

a) –196
b) –168
c) 22
d) 78

2. If f(x) is an odd function and the graph of f(x) includes points in Quadrant IV, which statement about the graph of f(x) must be true?

a) It includes points in Quadrant I.
b) It includes points in Quadrant II.
c) It does not include points in Quadrant I.
d) It does not include points in Quadrant II.

3. If f(x) = 3x2 + 1 and g(x) = 1 – x, what is the value of (f – g)(2)?

a) 12
b) 14
c) 36
d) 38

Answered by maham237 @ 29/11/2020

1. f(x) = 8 - 10xg(x) = 5x + 4
(fg)(x) = (8 - 10x)(5x + 4)(fg)(x) = 40x + 32 - 50x^2 - 40x(fg)(x) = 32 - 50x^2
(fg)(-2) = 32 - 50(-2)^2(fg)(-2) = 32 - 200(fg)(-2) = -168
2. Signs are inverted. Since, Q4 = (x , -y)Therefore Q? = (-x , y), which belongs to Quadrant 2.
b) It includes points in Quadrant II
3. f(x) = 3x^2 + 1g(x) = 1 - x
(f - g)(x) = 3x^2 + 1 - (1 - x)(f - g)(x) = 3x^2 + 1 - 1 + x(f - g)(x) = 3x^2 + x(f - g)(2) = 3(2)^2 + 2(f - g)(2) = 14

If f(x) = 8 – 10x and g(x) = 5x + 4, what is the value of (fg)(–2)?

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