MATHEMATICS HIGH SCHOOL

If f(x) = 3x + 2 and g(x) = x2 + 1, which expression is equivalent to (fxg) (x)?

Answers

Answer 1

Answer:

Answer:

$(f* g) (x)=3x^3+2x^2+3x+2$

Step-by-step explanation:

Given : If $f(x) = 3x + 2$ and $g(x)=x^2+1$

To find : Which expression is equivalent to $(f* g) (x)$ ?

Solution :

We can write,

$(f* g) (x)=f(x)* g(x)$ ....(1)

We know, $f(x) = 3x + 2$ and $g(x)=x^2+1$

Substituting the values in (1),

$(f* g) (x)=(3x+2)* (x^2+1)$

Multiply term by term,

$(f* g) (x)=3x^3+3x+2x^2+2$

$(f* g) (x)=3x^3+2x^2+3x+2$

Therefore, The expression is equivalent to $(f* g) (x)=3x^3+2x^2+3x+2$

Answer 2

Answer: $f(x)=3x+2\nThe\ domain\ D_f=\mathbb{R}\n\ng(x)=x^2+1\nThe\ domain\ D_G=\mathbb{R}\n\nD_f=D_g\ therefore\ (f* g)(x)=f(x)* g(x)\n\n(f* g)(x)=(3x+2)(x^2+1)=3x^3+3x+2x^2+2=\boxed{3x^3+2x^2+3x+2}$

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Find the value of f(x) = -3x^3 + 2x^2 for f(-1)

Answers

Answer:

Step-by-step explanation:

f(-1) means that wherever you see an x on the right hand side, you give it a value of -1

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

f(-1) = - 3+ 2

f(-1) = - 1

$(1 \ (7)/(9) ) { }^{ - (3)/(2) }$ work it out
with the steps
if your good at maths

Answers

Answer:

$2.370$

Step-by-step explanation:

$(1 (7)/(9) ) ^{ (3)/(2) } \n ( (16)/(9) ) ^{ (3)/(2) } \n ( \frac{ {2}^(4) }{ {3}^(2) } ) ^{ (3)/(2) } \n {2}^{4 * (3)/(2) } / {3}^{2 * (3)/(2) } \n {2}^(6) / {3}^(3) \n (64)/(27) \n 2.370$

Hope this helps you.

Let me know if you have any other questions :-):-)

Answer:

$2.37037$

Step-by-step explanation:

$\left(1\cfrac{7}{9}\right)^{\cfrac{3}{2}}$

Multiply 1 and 9 = 9

$\left(\cfrac{9+7}{9}\right)^{\cfrac{3}{2}}$

Add 9 and 7 = 16

$\left(\cfrac{16}{9}\right)^{\cfrac{3}{2}}$

Now, Calculate 16/0 to the power of 3/2 =

$\cfrac{64}{27}$

Factor:

$\cfrac{2^6}{3^3}$ $=2\cfrac{10}{27}$

$\approx 2.37037$

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What is 40 percent as a decimal?

Answers

Your answer= .4
To change 40% into a fraction, you have to move the decimal two spots to the left. If you are turning a decimal into a percent, you would move the decimal two spots to the right.

Answer:

$\Large \boxed{0.4}$

Step-by-step explanation:

To write a percent for a decimal, move the decimal point two places to the right. Add the percent sign.

First, divide by 100.

40/100=0.4

Therefore, the correct answer is 0.4.

Make tables to find the solution to 2^−x = 4^x + 3. Take the integer values of x only between −3 and 3.

Answers

x 2^(-x) 4^(x+3)

-3 8 1

-2 4 4

-1 0 16

0 1 64

1 0.5 256

2 0.25 1024

3 0.125 4096

The solution is x = -2 because both functions return the same value, i.e. 4.

How many lines of symmetry does the letter R have?

Answers

The letter R has 0 lines of symmetry............

Answer:

R has no lines of symmetry. There is no angle at which you could put a line through R and make it symmetrical.

hope this helps! <3

What is the equation y=2-3x in standard form