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1 year ago

For f(x) = 2x+1 and g(x) = x² -7, find (ƒ-g)(x).

Mathematics

2 answers:

viva [34]1 year ago

5 0

Answer:

-x2 + 2x + 8

Step-by-step explanation:

Your first step will be to set up the problem:

f(x) - g(x)

Next, you will substitute in your values:

(2x + 1) - (x2 - 7)

The easiest way to do the subtraction problems is to distribute your negative into your second set of parenthesis, so your expression would become:

2x + 1 - x2 + 7

Then combine your like terms:

2x - x2 + 8

Lastly, put your expression in standard form (highest exponent to lowest)

-x2 + 2x + 8

vitfil [10]1 year ago

3 0

Answer:

Step-by-step explanation:

(f - g)(x)

= f(x) - g(x)

= 2x + 1 - (x² - 7) ← distribute parenthesis by - 1

= 2x + 1 - x² + 7 ← collect like terms

= - x² + 2x + 8

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Step-by-step explanation:

There are 12 face cards in a deck out of 52, so 12/52 would be the probability

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3 years ago

Graph each absolute value function. State the domain, range, and y-intercept.

Paraphin [41]

Answer:

i)D: $x\in R$

ii)R: $y\ge-3$

iii) Y-int:(0,-1)

Step-by-step explanation:

i) The given absolute value function is;

$f(x)=|x+2|-3$ .

The absolute value function is defined for all real values of x.

The domain is all real numbers.

ii) The range is all y-values that will make x defined.

The given function,

$f(x)=|x+2|-3$ .

has vertex at, (-2,-3) and opens upwards.

This implies that, the minimum y-value is -3.

The range is $y\ge-3$

iii) To find the y-intercept substitute x=0 in to the function.

$f(0)=|0+2|-3$ .

$f(0)=|2|-3$ .

$f(0)=2-3$ .

$f(0)=-1$ .

The y-intercept is (0,-1)

See attachment for graph.

6 0

3 years ago

Can someone help me

Murljashka [212]

Answer:

Answer I think 2 is it

...........

5 0

3 years ago

Suppose a triangle has 2 sides of length 3 and 4 and that the angle between these two sides is 60 degrees. what is the length of

shusha [124]

Answer:

$\boxed{b.\:\:\:\sqrt{13}}$

Step-by-step explanation:

Let the third side of the triangle be $h\: units$ .

We can apply the cosine rule to find $h$ .

$h^2=3^2+4^2-2(3)(4)\cos(60\degree)$

We evaluate to obtain;

$\Rightarrow h^2=9+16-24(\frac{1}{2})$

$\Rightarrow h^2=25-12$

$\Rightarrow h^2=13$

We take the positive square root of both sides to obtain;

$\Rightarrow h=\sqrt{13}$

The correct answer is B.

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3 years ago

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zepelin [54]

Answer:

Step-by-step explanation:

Jndjd

Njxjdh

Ndjdjjf

Mjd

6 0

3 years ago

Read 2 more answers

For f(x) = 2x+1 and g(x) = x² -7, find (ƒ-g)(x).​

For f(x) = 2x+1 and g(x) = x² -7, find (ƒ-g)(x).