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3 years ago

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If f(x) =x/2 -3 and g(x) = 4x^2+ x-4, find( f + g )(x)

1 answer:

Andrei [34K]3 years ago

8 0

$f(x)=\dfrac{x}{2}-3=\dfrac{1}{2}x-3\\\\g(x)=4x^2+x-4\\\\(f+g)(x)=f(x)+g(x)\\\\(f+g)(x)=\left(\dfrac{1}{2}x-3\right)+(4x^2+x-4)=4x^2+1\dfrac{1}{2}x-7$

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-2.25-(-3.9) show your work I WILL DO BRAIN LIST 15 POINTS

Elden [556K]

Answer:

The answer is 1.65

Step-by-step explanation:

−2.25−(−3.9)

=−2.25−(−3.9)

=−2.25+3.9

=1.65

7 0

2 years ago

Which of these statements is true for f(x)=(1/10)^x

lana66690 [7]

Step-by-step explanation:

Considering the function

$f\left(x\right)=\:\left(\frac{1}{10}\right)^x$

Analyzing option A)

Considering the function

$f\left(x\right)=\:\left(\frac{1}{10}\right)^x$

Putting $x = 1$ in the function

$f\left(1\right)=\:\left(\frac{1}{10}\right)^1$

$f\left(1\right)=\:\left\frac{1}{10}\right$

So, it is TRUE that when $x = 1$ then the out put will be $f\left(1\right)=\:\left\frac{1}{10}\right$

Therefore, the statement that '' The graph contains $\left(1,\:\frac{1}{10}\right)$ '' is TRUE.

Analyzing option B)

Considering the function

$f\left(x\right)=\:\left(\frac{1}{10}\right)^x$

The range of the function is the set of values of the dependent variable for which a function is defined.

$\mathrm{The\:range\:of\:an\:exponential\:function\:of\:the\:form}\:c\cdot \:n^{ax+b}+k\:\mathrm{is}\:\:f\left(x\right)>k$

$k=0$

$f\left(x\right)>0$

Thus,

$\mathrm{Range\:of\:}\left(\frac{1}{10}\right)^x:\quad \begin{bmatrix}\mathrm{Solution:}\:&\:f\left(x\right)>0\:\\ \:\mathrm{Interval\:Notation:}&\:\left(0,\:\infty \:\right)\end{bmatrix}$

Therefore, the statement that ''The range of $f(x)$ is $y > \frac{1}{10}$ " is FALSE

Analyzing option C)

Considering the function

$f\left(x\right)=\:\left(\frac{1}{10}\right)^x$

The domain of the function is the set of input values which the function is real and defined.

As the function has no undefined points nor domain constraints.

So, the domain is $-\infty \:$

Thus,

$\mathrm{Domain\:of\:}\:\left(\frac{1}{10}\right)^x\::\quad \begin{bmatrix}\mathrm{Solution:}\:&\:-\infty \:$

Therefore, the statement that ''The domain of $f(x)$ is $x>0$ '' is FALSE.

Analyzing option D)

Considering the function

$f\left(x\right)=\:\left(\frac{1}{10}\right)^x$

As the base of the exponential function is less then 1.

i.e. 0 < b < 1

Thus, the function is decreasing

Also check the graph of the function below, which shows that the function is decreasing.

Therefore, the statement '' It is always increasing '' is FALSE.

Keywords: function, exponential function, increasing function, decreasing function, domain, range

Learn more about exponential function from brainly.com/question/13657083

#learnwithBrainly

3 0

3 years ago

Read 2 more answers

Travelling only through the crust, surface waves arrive after body waves. though they arrive later than body waves, surface wave

leva [86]

I believe the answer would be volcanic eruptions.

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3 years ago

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A group of ten 6- and 12-volt batteries are wired in series. The sum of their voltages is 84 volts. How many of each type of bat

rusak2 [61]

...... I need this as well please help us!!!

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3 years ago

PLEASE HELP ME!!!!!!!!!!

nikklg [1K]

Answer:

-7/10

Step-by-step explanation:

To find the slope of a line, you need to find the $\frac{rise}{run}$ between two points. I will be using the points (-3, 5) and (7, -2).

$\frac{rise}{run}$ = $\frac{-2-5}{7-(-3)}$

= $\frac{-7}{10}$

= -7/10

8 0

2 years ago