Let f(x) = 6x2-5 and g(x) = 2x-1. Find f.g. PLEASE HELP WITH REAL ANSWERS

Mathematics

2 answers:

KiRa [710]2 years ago

7 0

Answer:

f of g = 24x²+24x+1

Step-by-step explanation:

f(g(x)) = 6(2x-1)²-5

= 6(2x-1)(2x-1)-5

= 6(4x²+4x+1)-5

= 24x²+24x+6-5

= 24x²+24x+1

grandymaker [24]2 years ago

6 0

Answer:

12x3 − 6x2 − 10x + 5

Step-by-step explanation:

Let f(x) = 6x2 − 5 and g(x) = 2x − 1.

Find f · g. The domain is the set of all real numbers.

Use the multiplication operation.

(f · g)(x) = f(x) · g(x)

Substitute the given expressions for f(x) and g(x).

f · g = (6x2 − 5)(2x − 1)

Use the FOIL method.

= 12x3 − 6x2 − 10x + 5

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A kite is 85 feet high with 100 feet of string let out. What is the angle of elevation of the string with the ground? Please sho

a_sh-v [17]

Answer:

58°

Step-by-step explanation:

A right triangle can be drawn to model the geometry of the problem. The hypotenuse of the triangle is the length of the string, 100 ft. The side opposite the angle is the height of the kite above the ground, 85 ft.

The mnemonic SOH CAH TOA reminds you of the relationship between sides and angles.

Sin = Opposite/Hypotenuse

sin(α) = (85 ft)/(100 ft) = 0.85

The angle whose sine is 0.85 is found using the arcsine (inverse sine) function:

α = arcsin(0.85) ≈ 58.2°

The angle of elevation is about 58°.

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When using your calculator to find the values of inverse trig functions, make sure it is in <em>degrees</em> mode. Otherwise, you're likely to get the answer in radians (≈ 1.01599 radians).