All categories

3 years ago

Let f(x)=3x^2-x+2 and g(x)= 5x^2-1. find f(g(x))

Mathematics

2 answers:

Romashka-Z-Leto [24]3 years ago

7 0

Answer:

15x^4-5x^2+1

Step-by-step explanation:

g(x)=5x^2-1 and f(x)=3x^2-x+2

f(g(x))would mean that g(x) would be x in f(x).

So f(g(x) would be 15x^4-3-5x^2+1+2

simplified would be 15x^4-5x^2+1

LenKa [72]3 years ago

3 0

F (5x^2 - 1) = 75x^4 - 35x^2 + 6

You might be interested in

Find the value of each variable.

Pepsi [2]

Answer:

x = 4

Step-by-step explanation:

the given figure is of an isoceles triangle.

The two angles opposite are congruent(i.e78 degrees) .

That is the sides opposite to them are also congruent.

I. e 4x + 23 = 10x - 1

I. e 4x - 10x = -1 -23

I. e -6x = -24

I. e -x. = -24/6

Dividing by 6 to 24 we get,

-x = -4

therefore by removing the minus sign from both the sides,

the answer comes x = 4

8 0

2 years ago

Given that f(x) = x2 – 3x - 10 and g(x) = x – 5, find (f - g)(x) and express

Roman55 [17]

Answer:

$(f-g)(x)= x^2-4x-5$

Step-by-step explanation:

We have the two functions:

$f(x)=x^2-3x-10\text{ and } g(x)=x-5$

And we want to find (f-g)(x).

(f-g)(x) is equivalent to f(x)-g(x).

Therefore:

$\begin{aligned} (f-g)(x)&=f(x)-g(x)\\ &=(x^2-3x-10)-(x-5)\end{aligned}$

Simplify:

$\begin{aligned} &=x^2-3x-10-x+5 \\ &=(x^2)+(-3x-x)+(-10+5) \\ &=x^2-4x-5\end{aligned}$

Therefore:

$(f-g)(x)= x^2-4x-5$

8 0

2 years ago

Read 2 more answers

What is the purpose of Australians paying tax?

mr_godi [17]

Tax is money people and businesses pay to the Australian Government to provide services including: health. education. defence.

5 0

2 years ago

Read 2 more answers

Write an equation for the description.<br> The difference between a number x and 19 is 27.

ra1l [238]

Answer

x-19=27

Step-by-step explanation:

4 0

3 years ago

YES I Am GIVING A BRAINLIST pls be accurate

CaHeK987 [17]

Answer:

y = 5x +4

Step-by-step explanation:

x has to equal 1

y = 5(1) +4 = 9

8 0

2 years ago