Would it be factoring a polynomial,

Find the requested function value.

liq [111]

Given:

Given that the functions $f(x)=9 x+5$ and $g(x)=-4x^2-6x+3$

We need to determine the value of the function $(f \circ g)(-9)$

First, we shall determine the value of the function $(f \circ g)(x)$

The value of the function $(f \circ g)(x)$ :

Let us determine the value of the function $(f \circ g)(x)$

Thus, we have;

$(f \circ g)(x)=f[g(x)]$

$=f(-4x^2-6x+3)$

$=9(-4x^2-6x+3)+5$

$=-36x^2-54x+27+5$

$(f \circ g)(x)=-36x^2-54x+32$

Thus, the value of the function is $(f \circ g)(x)=-36x^2-54x+32$

The value of the function $(f \circ g)(-9)$ :

The value of the function $(f \circ g)(-9)$ can be determined by substituting x = -9 in the function $(f \circ g)(x)=-36x^2-54x+32$

Thus, we have;

$(f \circ g)(-9)=-36(-9)^2-54(-9)+32$

$=-36(81)-54(-9)+32$

$=-2916+486+32$

$(f \circ g)(-9)=-2398$

Thus, the value of the function $(f \circ g)(-9)$ is -2398

Hence, Option A is the correct answer.

4 0

3 years ago

There are 3 times as many novels as comic books in a bookstore.If there are 2480 books altogether, how many comic books are ther

irga5000 [103]

Answer:

there are 620 comic books

Step-by-step explanation:

let number of comic books be x

total books=3x+x

2480=4x

2480/4=x

620=x

4 0

3 years ago

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Solve for n please, with work , thank you!

Paul [167]

$\huge \boxed{\mathfrak{Question} \downarrow}$

$\sf1 - 3 n \gt - 1 - 4 ( 2 n - 8 )$

Solve the inequality algebraically.

$\large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}$

$\sf1 - 3 n \gt - 1 - 4 ( 2 n - 8 )$

Use the distributive property to multiply -4 by 2n-8.

$\sf1-3n>-1-8n+32$

Add -1 and 32 to get 31.

$\sf1-3n>31-8n$

Add 8n to both sides.

$\sf1-3n+8n>31$

Combine -3n and 8n to get 5n.

$\sf1+5n>31$

Subtract 1 from both sides.

$\sf5n>31-1$

Subtract 1 from 31 to get 30.

$\sf5n>30$

Divide both sides by 5. As 5 > 0, the direction of the inequality remains the same.

$\sf \: n>\frac{30}{5} \\$

Divide 30 by 5 to get 6.

$\boxed{ \boxed{ \bf \: n>6 }}$

3 0

3 years ago

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Kelsi has 48 books 2/6 of those books are fantasy and sci-fi .3/8 of those books are sci-fi . How many of kelsi’s books are sCI-

Akimi4 [234]

Answer:

We know that 2/6 * 48 = 16 books are fantasy and sci-fi. Of those, 16 * 3/8 = 6 books are sci-fi.

4 0

3 years ago

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For a segment of a radio show , a disc jockey can play 7 records . If there are 9 records to select from , in how many ways can

ale4655 [162]

Answer: 72

Step-by-step explanation:

From the question, we are informed that a disc jockey can play 7 records and that there are 9 records to select from for a particular segment of a radio show.

The number of ways that the program for the segment be arranged will be:

= 9! / 7!

= (9 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1) / (7 × 6 × 5 × 4 × 3 × 2 × 1)

= 9 × 8

= 72

6 0

3 years ago