Mathematics : asked on lolidkhelp

02.08.2022

If f(x) = x-1 and g(x) = 2x, what is and g(f(x))

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09.07.2023, solved by verified expert

Bibin (Bibi) P B

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Mathematics

Please help! For all values of x, F(x)= x-1 And G(x)=2x^2+3 Solve fg(x)= gf(x)

Step-by-step answer

P Answered by PhD

4

$\frac{3}{4}$

The composition of a function is a process in which two functions f,g , are combined to produce a new function, , with the formula h(x)=g(f(x)) . It means that the function is being applied to the function.

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

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

$=2x^2+3-1\\=2x^2+2$

g(f(x))=g(x-1)

$=2(x-1)^2+3\\=2x^2+2-4x+3\\=2x^2-4x+5$

f(g(x))=g(f(x))

2x^2+2=2x^2-4x+5

4x=3

$x=\frac{3}{4}$

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Mathematics

Please help! For all values of x, F(x)= x-1 And G(x)=2x^2+3 Solve fg(x)= gf(x)

Step-by-step answer

P Answered by PhD

4

$\frac{3}{4}$

The composition of a function is a process in which two functions f,g , are combined to produce a new function, , with the formula h(x)=g(f(x)) . It means that the function is being applied to the function.

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

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

$=2x^2+3-1\\=2x^2+2$

g(f(x))=g(x-1)

$=2(x-1)^2+3\\=2x^2+2-4x+3\\=2x^2-4x+5$

f(g(x))=g(f(x))

2x^2+2=2x^2-4x+5

4x=3

$x=\frac{3}{4}$

For more information:

link

Mathematics

If f(x) = x-1 and g(x) = 2x, what is and g(f(x))

Step-by-step answer

P Answered by Specialist

f(g(x)) = 2x - 1

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Mathematics

If f(x) = X-1 and g(x) = 2x, what is and g(f(x)) ? please explain !! HELP

Step-by-step answer

P Answered by PhD

f(x) = x - 1

g(x) = 2x

To compute g(f(x)), replace every instance of x in the definition of g(x) with f(x). This would given you

g(f(x)) = g (x - 1) = 2 (x - 1) = 2x - 2

Mathematics

If f(x) = x-1 and g(x) =2x-3 find the sum, difference, product and quotient of these two functions

Step-by-step answer

P Answered by PhD

1

We have the following functions:
f (x) = x-1
g (x) = 2x-3

For the sum we have:
f (x) + g (x) = (x-1) + (2x-3)
f (x) + g (x) = 3x - 4

For subtraction we have:
f (x) - g (x) = (x-1) - (2x-3)
f (x) - g (x) = -x + 2

For the product we have:
f (x) * g (x) = (x-1) * (2x-3)
f (x) * g (x) = 2x ^ 2 - 3x - 2x + 3
f (x) * g (x) = 2x ^ 2 - 5x + 3

For the quotient we have:
f (x) / g (x) = (x-1) / (2x-3)

Mathematics

If f(x) = x-1 and g(x) =2x-3 find the sum, difference, product and quotient of these two functions

Step-by-step answer

P Answered by PhD

1

We have the following functions:
f (x) = x-1
g (x) = 2x-3

For the sum we have:
f (x) + g (x) = (x-1) + (2x-3)
f (x) + g (x) = 3x - 4

For subtraction we have:
f (x) - g (x) = (x-1) - (2x-3)
f (x) - g (x) = -x + 2

For the product we have:
f (x) * g (x) = (x-1) * (2x-3)
f (x) * g (x) = 2x ^ 2 - 3x - 2x + 3
f (x) * g (x) = 2x ^ 2 - 5x + 3

For the quotient we have:
f (x) / g (x) = (x-1) / (2x-3)

Mathematics

8. Which of the following correctly multiplies f(x) x g(x) if f(x) = 3x-1 and g(x) = 2x + 1? A) f(x) x g(x) = 6x2 + x + 1 B) f(x) x g(x) = 5x C) f(x) x g(x) = 6x2 + x-1 D) f(x) x g(x) = 5x2 + x-1

Step-by-step answer

P Answered by Master

C) f(x) x g(x) = 6x2 + x-1

Step-by-step explanation:

Multiplication of functions:

Two multiply two polynomial functions, we apply the distributive property(multiply each two terms and add).

In this question, we have that:

f(x) = 3x - 1, g(x) = 2x + 1

The multiplication is:

$f(x) \times g(x) = (3x - 1)(2x+1) = 3x*2x + 3x*1 -1*2x -1*1 = 6x^2 + 3x - 2x - 1 = 6x^2 + x - 1$

The correct answer is given by option C.

Mathematics

8. Which of the following correctly multiplies f(x) x g(x) if f(x) = 3x-1 and g(x) = 2x + 1? A) f(x) x g(x) = 6x2 + x + 1 B) f(x) x g(x) = 5x C) f(x) x g(x) = 6x2 + x-1 D) f(x) x g(x) = 5x2 + x-1

Step-by-step answer

P Answered by Master

C) f(x) x g(x) = 6x2 + x-1

Step-by-step explanation:

Multiplication of functions:

Two multiply two polynomial functions, we apply the distributive property(multiply each two terms and add).

In this question, we have that:

f(x) = 3x - 1, g(x) = 2x + 1

The multiplication is:

$f(x) \times g(x) = (3x - 1)(2x+1) = 3x*2x + 3x*1 -1*2x -1*1 = 6x^2 + 3x - 2x - 1 = 6x^2 + x - 1$

The correct answer is given by option C.

Mathematics

Will make brainliest answer!! If f(x) = 3x-2 and g(x) = 2x+1, find (f+g)(x) A. x-3 B. x-1 C. 5x-1 D. 5x-3

Step-by-step answer

P Answered by PhD

1

C. 5x - 1

Step-by-step explanation:

Givenf(x) = 3x-2 and g(x) = 2x+1To find (f+g)(x)Solution(f+g)(x) =f(x) + g(x) =3x - 2 + 2x + 1 =5x - 1

Mathematics

20 POINTS NEED HELP ASAP If f(x) = 3x-2 and g(x) = 2x+1, find (f+g)(x) A. x-3 B. x-1 C. 5x-1 D. 5x-3

Step-by-step answer

P Answered by PhD

1

G(x)=2x+1
f(2x+1)=3(2x+1)-2
6x+3-2=6x-1
Sorry this was the answer that I had 6x-1
That answer choice is correct?

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