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timofeeve [1]
3 years ago
11

Find (f*g) (x) for the following functions. f(x) = 9x2 – 2x – 9 g(x) = 11x – 9

Mathematics
2 answers:
Juliette [100K]3 years ago
7 0

For this case we have the following functions:

f (x) = 9x ^ 2-2x-9\\g (x) = 11x-9

We must find (f * g) (x). By definition we have to:

(f * g) (x) = f (x) * g (x)

So:

(f * g) (x) = (9x ^ 2-2x-9) (11x-9)

We apply distributive property considering that:

+ * - = -\\- * - = +

To multiply powers of the same base, we place the same base and add the exponents:

(f * g) (x) = 99x ^ 3-81x ^ 2-22x ^ 2 + 18x-99x + 81\\(f * g) (x) = 99x ^ 3-103x ^ 2-81x + 81

Answer:

(f * g) (x) = 99x ^ 3-103x ^ 2-81x + 81

e-lub [12.9K]3 years ago
4 0

Answer:

all work is shown and pictured

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y+3<2x

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(2,-2) because - 2+3<2*2, 1<4

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3 years ago
What is the volume of a rectangular prism with the dimensions: base 3 1 2 cm, height 1 1 2 cm, and length 5 1 2 cm?
Elanso [62]

Answer:

The volume of a rectangular prism is 28\frac{7}{8}\ cm^{3}

Step-by-step explanation:

we know that

The volume of the rectangular prism is equal to

V=BHL

Convert the given dimensions to an improper fractions

B=3\frac{1}{2}\ cm=\frac{3*2+1}{2}=\frac{7}{2}\ cm

H=1\frac{1}{2}\ cm=\frac{1*2+1}{2}=\frac{3}{2}\ cm

L=5\frac{1}{2}\ cm=\frac{5*2+1}{2}=\frac{11}{2}\ cm

substitute in the formula

V=(\frac{7}{2})(\frac{3}{2})(\frac{11}{2})=\frac{231}{8}\ cm^{3}

Convert to mixed number

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