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otez555 [7]
3 years ago
10

For all the values of x, f(x) = 2x(squared) g(x) = x+1 solve fg(x)=gf(x)

Mathematics
1 answer:
bulgar [2K]3 years ago
3 0

Answer:

Value of x for fg(x)=gf(x) at <em>f(x) = 2x²</em> and <em>g(x) = x+1</em> is x = -1/4 .

Step-by-step explanation:

We have, f(x) = 2x² and g(x) = x+1

Now, f(g(x)) = g(f(x))

⇒ <em>2(x+1)² = 2x² + 1</em>

<em>⇒ 2( x² + 2x + 1 ) = 2x² + 1</em>

<em>⇒ 2x² + 4x + 2 = 2x² + 1</em>

<em>⇒ 4x = -1</em>

<em>⇒ </em><em>x = -1/4</em>

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Simplify the expression 256b − b by combining like terms.
iris [78.8K]

Answer:

255b

Step-by-step explanation:

subtract 256b by b

7 0
3 years ago
A hypothesis test is conducted at the .05 level of significance to test whether or not the population correlation is zero. If th
finlep [7]

Answer:

Th computed value of the test statistic is 3.597

Step-by-step explanation:

The null and the alternative hypothesis is as follows:

Null Hypothesis:

\mathbf{H_o:} the population correlation coefficient is equal to zero

\mathbf{H_a:} the population correlation coefficient is not equal to zero

The test statistics for Pearson correlation coefficient is thus computed as :

t =\dfrac{r \sqrt{(n-2)}} { \sqrt{(1-(r)^2)} }

where;

r = correlation coefficient = 0.60

n = sample size = 25

So;

t =\dfrac{0.60 \sqrt{(25-2)}} { \sqrt{(1-(0.60)^2)} }

t =\dfrac{0.60 \sqrt{(23)}} { \sqrt{(1-0.36} }

t =\dfrac{0.60 *4.796} {0.8}

t = 3.597

Comparing to a critical value of t (23 degrees of freedom two-tailed value) = 2.069

Decision Rule:

Since computed value of t is greater than the critical value of t; We reject the null hypothesis and accept the alternative hypothesis.

Conclusion:

We conclude that the population correlation coefficient significantly differs from 0 at 5% (0.05) level of significance.

6 0
3 years ago
I NEED HELP ASAP PLEASEEEEEEEE!!!!!!!!!!
igomit [66]

C

Step-by-step explanation:

In my opinion by looking at the photograph I think its 6 in my opinion sorry if I'm wrong

7 0
2 years ago
Find the value of x. The diagram is not to scale.
DiKsa [7]

Sum of interior angles in a pentagon=540°

148+112+2x+2x+10+90=540

360+4x=540

4x=540-360

4x=180

x=180/4

x=45°

5 0
2 years ago
 (6,-3) and y = - 6x - 3
Hatshy [7]
Wait what's the question tho?
is it if this point is on the line?
cause it's not
-y=mx+b
3=-6(6)-3
-3=-36-3
-3 does not equal -39
hence, point is not on the line
3 0
3 years ago
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