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den301095 [7]
3 years ago
9

For the functions f(x)=3x−1 and g(x)=4x−3, find (f∘g)(x) and (g∘f)(x)

Mathematics
1 answer:
motikmotik3 years ago
8 0
(f°g)(x)=12x-10

(g°f)(x)= 12x-7

Hope this helps
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Verify that -5, 1/2, and 3/4 are the zeroes of the cubic polynomial 4x^3+20x^2+2x-3. Also verify the relationship between the ze
Finger [1]

Solution:

we have been asked to verify that -5, 1/2, and 3/4 are the zeroes of the cubic polynomial 4x^3+20x^2+2x-3

To verify that whether the given values are zeros or not we will substitute the values in the given Polynomial, if it will returns zero, it mean that value is Zero of the polynomial. But if it return any thing other than zeros it mean that value is not the zero of the polynomial.

Let f(x)=4x^3+20x^2+2x-3\\\\\text{when x=-5}\\\\f(-5)=4(-5)^3+20(-5)^2+2(-5)-3=-13\\\\\text{when x=}\frac{1}{2}\\

f( \frac{1}{2} ) = 4 ( \frac{1}{2} )^3+20(\frac{1}{2})^2+2(\frac{1}{2})-3=\frac{7}{2}\\\\

\text{when x=}\frac{3}{4}\\\\

f( \frac{3}{4} ) = 4 ( \frac{3}{4} )^3+20(\frac{3}{4})^2+2(\frac{3}{4})-3=\frac{183}{16}\\

Hence -5, 1/2, and 3/4 are not the zeroes of the given Polynomial.

Since sum of roots=\frac{-b}{a}= \frac{-20}{4}=-5\\

But -5+\frac{1}{2}+\frac{3}{4}=  \frac{-15}{4}\neq-5

Hence we do not find any relation between the coefficients and zeros.

Anyway if the given values doesn't represents the zeros then those given values will not have any relation with the coefficients of the p[polynomial.

6 0
3 years ago
What is the measure of angle A?<br><br> A. 110<br> B. 70<br> C. 250<br> D. 55
zhuklara [117]
B. 70 is the correct answer
8 0
3 years ago
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Which equation represents a line parallel to the line shown on the graph?
Delicious77 [7]

The  equation y=2x+1 has the same slope , so will be parallel to the given line.

<h3>What is a linear function ?</h3>

A function that can be represented in the form of y =mx +c , is called a Linear Function.

here m is the slope and c is the y intercept.

The slope of the given line can be found as follows

The y intercept is 4

at x = -2 , y =0

0 = -2m + 4

m = 2

The line parallel to this line will have the same slope

In the given option , Option C , y=2x+1 has the same slope , so will be parallel to the given line.

To know more about Linear Function

brainly.com/question/21107621

#SPJ1

3 0
2 years ago
(Lesson 31) The population of Jacksonville, Florida, was 736,000 in 2000 and was increasing at a rate of 1.49% each year. At
damaskus [11]

Answer:

Step-by-step explanation:

Population t years after 2000 = 736,000 × 1.0149^t

736,000 × 1.0149^t = 1,000,000

1.0149^t = 1,000,000/736,000 = 125/92

Take log base 1.0149 of both sides

t ≈ 20.7

Population exceeds a million in 2021

7 0
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Jillian read for 120 minutes. Sarah read for 180 minutes. Lexie said that Sarah read for 60 minutes more than Jillian.
kvv77 [185]
What’s the question?
5 0
3 years ago
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