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Vlada [557]
2 years ago
11

Given f(x) = 4x^2 – 1 and g(x) = 2x - 1, find f(g(-1)).

Mathematics
2 answers:
Harman [31]2 years ago
8 0

Step-by-step explanation:

f(x) = 4 {x}^{2}  - 1 \:  \: and \:  \: g(x) = 2x - 1 \\  \\  \therefore \: g( - 1) = 2( - 1) - 1 =  - 2 - 1 =  - 3 \\  \\   \therefore \:f(g( - 1)) = 4( - 3) ^{2}  - 1 \\  = 4 \times 9 - 1 \\  = 36 - 1 \\  = 35 \\  \\  \huge \red{ \boxed{\therefore \:f(g( - 1)) =35}}

Fynjy0 [20]2 years ago
3 0

Answer:

35

Step-by-step explanation:

g(x) = 2x - 1

equate -1 into x

g(-1) = 2(-1)-1=-2-1=-3

f(x) = 4x²-1

equate g(-1)= -3 into x

f(g(-1))= f (-3) = 4(-3)²-1 = 4(9)-1 = 36-1 = 35

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2 years ago
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Step-by-step explanation:

I have attached a diagram depicting the question.

From the diagram, The first tower is depicted by side AEB and the second tower CD.

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Now, since the angle of depression of the second tower’s base is 60°, then for triangle BAC. Angle C = 60°.

Thus; using trigonometric ratios;

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Similarly, for the triangle BED, BE = d*tan 30°

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You would need to draw the number 33 to get a score of 0.

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3 years ago
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