MATHEMATICS COLLEGE

If f(x) = 2x + 2 and g(x) = x2 - 1, find (f - g)(x).

Answers

Answer 1

Answer:

Answer:

(f - g)(x) = - x² + 2x + 3

Step-by-step explanation:

f(x) = 2x + 2

g(x) = x² - 1

To find (f - g)(x) subtract g(x) from f(x)

That's

(f - g)(x) = 2x + 2 - [ x² - 1]

(f - g)(x) = 2x + 2 - x² + 1

Group like terms

That's

(f - g)(x) = - x² + 2x + 2 + 1

We have the final answer as

(f - g)(x) = - x² + 2x + 3

Hope this helps you

Answer 2

Answer:

Answer:

-x2+2x+3

Step-by-step explanation:

(2x+2)- (x2-1)

2x+2-x2+1

-x2+2x+3

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How do you simplify this algebraic expression if a minus sign is in front of the parentheses?

Answers

Treat the negative sign as a -1 and distribute the negative sign to everything inside the parenthesis.

Ex. -(8x^2+3x-1)
-8x^2-3x+1

Basically all the signs flip.

How do you do a question like this? 80% as a fraction in simplest form.

Answers

Take away 0.20 of the amount.

The slope of the line below is -2. Use the coordinates of the labeled point tofind a point-slope equation of the line.

Answers

Answer:

$y + 6 = -2(x - 4)$

Step-by-step explanation:

Given:

Slope (m) = -2

Point on the line = (4, -6)

Required:

Point-slope equation of the line

Solution:

Point-slope equation takes the following form:

$y - b = m(x - a)$ ,

Where,

m = slope of the line = -2

(a, b) = coordinates of the point on the line. = (4, -6)

Plug in the values into the slope-point equation

$y - (-6) = -2(x - 4)$

$y + 6 = -2(x - 4)$

What is an equation of the line that is parallel to y=3x-8 and passes through the point (4, -5)

Answers

Hi there! :)

Answer:

y = 3x - 17.

Step-by-step explanation:

To write an equation parallel to y = 3x - 8, we need the slope as well as the coordinates of a point to solve for the "b" value in y = mx + b:

A line parallel to y = 3x - 8 contains the same slope, or m = 3.

Plug in the coordinates in (4, -5) into "x" and "y" in the equation y = mx + b respectively:

-5 = 3(4) + b

-5 = 12 + b

Simplify:

-5 - 12 = b

b = -17.

Rewrite the equation:

y = 3x - 17.

6910
Geometric Proof #1
4x = -24
Names: statements & Reasons Bank:
C
B
x + 18
3x + 25
Division P.O.E
4x + 43 = 19
Given: AC = 19
Prove: x = -6
gure not to sale
4x = 62
Statements
Reasons
Given
Segment Addition
Postulate
AC = 19
AB = x + 18
Definition of Midpoint
Definition of Congruent
Segments
Given
BC = 3x + 25
Given
Addition P.O.E.
x + 18 + 3x + 25 = 19
AB + BC = AC
AB = BC
Substitution
Combine Like Terms
Subtraction P.O.E.
x = -6
Click to add speaker notes

Answers

Answer:

174

Step-by-step explanation:

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