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3 years ago

If f(x) = 3x2 - 4 and g(x) = x+2, find (f - g)(x).

Mathematics

2 answers:

aev [14]3 years ago

7 0

Answer:

$(f-g) (x) = 3x ^ 2- x - 6$

Step-by-step explanation:

We have the following functions

$f (x) = 3x ^ 2-4$

$g (x) = x + 2$

To find $(f-g) (x)$ we must subtract the function f(x) with the function g (x)

Then we perform the following operation

$(f-g) (x) = 3x ^ 2-4- (x + 2)$

$(f-g) (x) = 3x ^ 2-4- x - 2$

$(f-g) (x) = 3x ^ 2- x - 2-4$

Finally we have that:

$(f-g) (x) = 3x ^ 2- x - 6$

ElenaW [278]3 years ago

6 0

Answer:

3x^2-x-6

Step-by-step explanation:

f-g means you are going to do (3x^2-4)-(x+2)

3x^2-4-x-2

Combine like terms

3x^2-x-6

You might be interested in

Several years ago, 38% of parents who had children in grades K-12 were satisfied with the quality of education the students r

Colt1911 [192]

Answer:

$0.428 - 1.96\sqrt{\frac{0.428(1-0.428)}{1165}}=0.3995$

$0.428 + 1.96\sqrt{\frac{0.428(1-0.428)}{1165}}=0.4564$

We are confident that the true proportion of people satisfied with the quality of education the students receive is between (0.3995, 0.4564), since the lower value for this confidence level is higher than 0.38 we have enough evidence to conclude that the parents' attitudes toward the quality of education have changed.

Step-by-step explanation:

For this case we are interesting in the parameter of the true proportion of people satisfied with the quality of education the students receive

The confidence level is given 95%, the significance level would be given by $\alpha=1-0.95=0.05$ and $\alpha/2 =0.025$ . And the critical values are:

$z_{\alpha/2}=-1.96, z_{1-\alpha/2}=1.96$

The estimated proportion of people satisfied with the quality of education the students receive is given by:

$\hat p =\frac{499}{1165}= 0.428$

The confidence interval for the proportion if interest is given by the following formula:

$\hat p \pm z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}$

And replacing the info given we got:

$0.428 - 1.96\sqrt{\frac{0.428(1-0.428)}{1165}}=0.3995$

$0.428 + 1.96\sqrt{\frac{0.428(1-0.428)}{1165}}=0.4564$

8 0

3 years ago

Anyone know any equivelant expressions to 2(4x−3)+3x−1?

Westkost [7]

Sure, each of the following lines.
8x-6+3x-1
11x-6-1
and, 11x-7

8 0

2 years ago

Read 2 more answers

You’ve been asked to order cake for your school dance. Here’s a formula for the scenario: z=xa/y

olga nikolaevna [1]

Answer:

The number of cake for order is 15 cakes .

Step-by-step explanation:

Given as :

Total number of people to attend the dance = x = 60

The number of slices each person will eat = A = 2 slices

The number of slices per cake = y = 8 slices

Let The number of cake for order = z

<u>Now, According to question</u>

Total slices of cake required for 60 people when each people eat 2 slices = total number of people × number of slices each person will eat

i.e Total slices of cake required for 60 people when each people eat 2 slices = x × A

Or, Total slices of cake required for 60 people when each people eat 2 slices = 60 × 2 slices

Or,Total slices of cake required for 60 people when each people eat 2 slices = 120 slices

<u>Again</u>

∵ number of slices per cake = 8

∴ The number of cake for order = $\dfrac{\textrm Total slices of cake required for 60 people when each people eat 2 slices}{\textrm number of slices per cake }$