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3 years ago

Write in standard form a line containing (3,2) and has a slope of - 2/3

1 answer:

8 0

M = -1/2
y-intercept = (0, 1)
y = -x/2 + 1 in slope-intercept form
x/2 + y = 1
x/2 + 2y/2 = 2/2
x + 2y = 2 in standard form

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II. Let f(x) = 9 – x , g(x) = x2 + x, and h(x) = x – 2. Compute the following:

Neko [114]

Answer:

$h(g(x))=x^2+x-2$

$h(g(f(x))= x^2-19x+88$

Step-by-step explanation:

<u>Composite Function</u>

Suppose f(x) and g(x) are real functions, the composite function named $(f\circ g)(x)$ is defined as:

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

The composite function can be found by substituting g into f.

We are given these functions:

$f(x)=9-x$

$g(x)=x^2+x$

$h(x)=x-2$

Find:

a) h(g(x))

Substituting g into h:

$h(g(x))=x^2+x-2$

b) h(g(f(x))

First we find g(f(x)):

$g(f(x))=(9-x)^2+(9-x)$

Operating:

$g(f(x))=81-18x+x^2+9-x$

Simplifying:

$g(f(x))=90-19x+x^2$

Now find h(g(f(x)) replacing the above equation into h:

$h(g(f(x))= 90-19x+x^2-2$

Simplifying and rearranging:

$h(g(f(x))= 88-19x+x^2$

$h(g(f(x))= x^2-19x+88$

3 0

3 years ago

Evaluate the function f(p) = p^2 + 3p + 1 for p =- 2.

Anon25 [30]

(-2)^2 + 3(-2) + 1

4-6+1

-1

4 0

2 years ago

Read 2 more answers

GIVING BRAINLIEST!! PLS HELP :((

Vladimir79 [104]

The answer is 2 to the power of 6

3 0

2 years ago

Read 2 more answers

What is the volume of the rectangular prism? help asap

nalin [4]

Answer:

V=whl=3·9·7=189, Which is 189.

Step-by-step explanation:

6 0

2 years ago

Simplify the expression below 6m^5+15m^2/3m^2

densk [106]

Answer:6m^5+5

Step-by-step explanation:

To simplify 6m^5+15m^2/3m^2

We get

6m^5+5

8 0

3 years ago