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3 years ago

Given f(x) = 9x - 5 and g(x) = x^2 choose the expression for (f g) (x)

Mathematics

2 answers:

spayn [35]3 years ago

8 0

Answer:

9x²-5

Step-by-step explanation:

Given f(x) = 9x - 5 and g(x) = x², (f g)x means we will have to substitute g(x) value into f(x).

Since f(x) = 9x-5

(f g)x = 9x²-5

Note that g(x) which is equal to x² will be substituted for value of x in the function of x i.e f(x) making 9x²-5 the required answer.

antoniya [11.8K]3 years ago

7 0

Answer:

$9x^2 - 5 = 0$

Step-by-step explanation:

Given: $f(x) = 9x - 5$ and $g(x) = x^2$ .

We are asked to find $f(g(x))$

This is composition of two functions. $f(g(x))$ means $g(x)$ becomes the input for $f(x)$ .

So, now $f(g(x))$ $= f(x^2)$

$\implies f(g(x)) = 9(x^2) - 5$

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Find the value of x and y

slava [35]

Answer:

Step-by-step explanation:

OS ≅ OU, so we will set those 2 expressions equal to each other and solve for y:

6y = 42 so

y = 7

Same goes for OT and OV:

x + 5 = 23 so

x = 18 and

SU = 84

5 0

3 years ago

Does anyone know how to do these maths question???

Dmitry_Shevchenko [17]

Answer:

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

Part 2) $g(f(5))=289$

Step-by-step explanation:

we know that

A composite function is a function that depends on another function. A composite function is created when one function is substituted into another function

we have

$f(x)=3x+2$

$g(x)=x^{2}$

Part 1) Determine f(g(x))

To find f(g(x)) substitute the function g(x) as the variable in function f(x)

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

Part 2) Determine g(f(x))

To find g(f(x)) substitute the function f(x) as the variable in function g(x)

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

For x=5

$g(f(5))=(3(5)+2)^2$

$g(f(5))=289$

3 0

2 years ago

A. (H, 1) (H, 2) (H, 3) (H, 4) (H, 5), (T, 1) (T, 2) (T, 3) (T, 4) (T, 5)

grigory [225]

B
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2 years ago

a music store marks up the instruments it sells by 30% if the store-bought a guitar for $45 what will be its store price

kirza4 [7]

Answer:

58.5

Step-by-step explanation:

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3 years ago

The U.S. Department of Transportation provides the number of miles that residents of the75 largest metropolitan areas travel per

Leya [2.2K]

Answer:

a. The point estimate of the difference between the mean number of miles that Buffalo residents travel per day and the mean number of miles that Boston residentstravel per day is 88

b. The 95% confidence interval for the difference between the two population means is (0.58171,7.21829)

Step-by-step explanation:

a. According to the given data we have the following:

Buffalo residents mean=22.5

Standard deviation=8.4

n=50

Boston residents mean=18.6

Standard deviation=7.4

n=40

Hence, the point estimate is the difference of the means=22.5-18.6=3.9

The standard error=√((s1∧2/n1)+((s2∧2/n2))=√((8.4∧2/50)+(7.4∧2/40))=1.67

Therefore, the difference of miles=n1+n2-2=50+40-2=88

The point estimate of the difference between the mean number of miles that Buffalo residents travel per day and the mean number of miles that Boston residentstravel per day is 88.

b. The critical value of t at 95% confidence level and DoF=88 is 1.987

The interval:(x1-x2)+ (critical value* std error)

=3.9-(1.987*1.67),3.9+(1.987*1.67)

Difference between mean=(0.58171,7.21829)

The 95% confidence interval for the difference between the two population means is (0.58171,7.21829)

8 0

2 years ago