1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
tatyana61 [14]
2 years ago
13

Function F(x)=x+1 and g(x)=5x+1 find the f(4)=g(x+1)

Mathematics
1 answer:
Lapatulllka [165]2 years ago
7 0

The function of f(4) = g(x+1) gives the value of x that is -1/5.

<h3>What is the function addition?</h3>

It is the addition of two functions similar to the addition of any two polynomial functions.

Given;

F(x)=x+1

g(x)=5x+1

We need to find f(4)=g(x+1)

First substitute x = 4 in f(x)

F(x)=x+1

F(4) = 4 + 1

F(4) =  5

Now substitute x = x + 1 in g(x)

g(x)=5x+1

g(x + 1) = 5(x + 1) + 1

g(x + 1) = 5(x + 1) + 1

g(x + 1) = 5x + 5 + 1

g(x + 1) = 5x + 6

Then ,

F(4) = g(x + 1)

5 = 5x + 6

5x = 5 - 6

5x = -1

x = -1/5.

The function of f(4) = g(x+1) gives the value of x that is -1/5.

Learn more about function;

brainly.com/question/14438192

#SPJ1

You might be interested in
What is the area of a rectangular holding pond with length 8/15 mile and width 1/6 mile?
SSSSS [86.1K]

as you already know, the area of a rectangle is just length*width, so is just the product of those two.


\bf \cfrac{8}{15}\times \cfrac{1}{6}\implies \cfrac{8}{6}\times \cfrac{1}{15}\implies \cfrac{4}{3}\times \cfrac{1}{15}\implies \cfrac{4}{45}

4 0
3 years ago
Read 2 more answers
7 es un número natural?​
Snezhnost [94]

Answer:

Sí, 7 es un número natural

Step-by-step explanation:

3 0
3 years ago
50 points <br><br><br><br> From the graph of the function, determine the domain and the range.
Ira Lisetskai [31]

Answer:

this is olny 25

Step-by-step explanation:

3 0
3 years ago
Find the absolute maximum and minimum values of the following function on the specified region R.
yan [13]

Answer:

Step-by-step explanation:

Since it is said that the region R is a semicircular disc, we asume that the boundaries of the region are given by -2\leq x \leq 2, 0\leq y \leq \sqrt[]{4-x^2}. First, we must solve the optimization problem without any restrictions, and see if the points we get lay inside the region of interest. To do so, consider the given function F(x,y). We want to find the point for which it's gradient is equal to zero, that is

\frac{dF}{dx}=9y=0

\frac{dF}{dy}=9x=0

This implies that (x,y) = (0,0). This point lays inside the region R. We will use the Hessian criteria to check if its a minimum o r a maximum. To do so, we calculate the matrix of second derivates

\frac{d^2F}{dx^2} = 0 = \frac{d^2F}{dy^2}

\frac{d^2F}{dxdy} = 9 = \frac{d^2F}{dydx}

so we get the matrix

\left[\begin{matrix} 0 & 9 \\ 9 & 0\end{matrix}\right]

Note that the first determinant is 0, and the second determinant is -9. THis tell us that the point  is a saddle point, hence not a minimum nor maximum.  

Since the function is continous and the region R is closed and bound (hence compact) the maximum and minimum must be attained on the boundaries of R. REcall that when -2\leq x \leq x and y=0 we have that F(x,0) = 0. So, we want to pay attention to the critical values over the circle, restricting that the values of y must be positive. To do so, consider the following function

H(x,y, \lambda) = 9xy - \lambda(x^2+y^2-4) which consists of the original function and a function that describes the restriction (the circle x^2+y^2=4), we want that the gradient of H is 0.

Then,

\frac{dH}{dx} = 9y-2\lambda x =0

\frac{dH}{dx} = 9x-2\lambda y =0

\frac{dH}{d\lambda} = x^2+y^2-4 =0

From the first and second equation we get that

\lambda = \frac{9y}{2x} = \frac{9x}{2y}

which implies that y^2=x^2. If we replace this in the restriction, we have that x^2+x^2 = 2x^2 = 4 which gives us that x=\pm \sqrt[]{2}. Since we only care for the positive values of y, and that y=\pm x, we have the following critical points (\sqrt[]{2},\sqrt[]{2}), (-(\sqrt[]{2},\sqrt[]{2}). Note that for the first point, the value of the function is

F(\sqrt[]{2},\sqrt[]{2}) = 9\cdot 2 =18

as for the second point the value of the function is

F(-\sqrt[]{2},\sqrt[]{2}) = 9\cdot -2 =-18.

Then, the point (\sqrt[]{2},\sqrt[]{2}) is a maximum and the point (-(\sqrt[]{2},\sqrt[]{2}) is a minimum.

6 0
3 years ago
Compute the following sum of a geometric sequence: S = 0.936 + 0.935 + ... + 0.92 + 0.9 + 1 (Round your answer to two decimal pl
mezya [45]

The sum of the given geometric sequence to 2 dp is 936.00

To get the sum of a geometric sequence, we will use the formula for calculating the sum to infinity of the sequence as shown:

S_\infty=\frac{1}{1-r}

a is the first term

r is the common ratio

Given the sequence  S = 0.936 + 0.935 + ... + 0.92 + 0.9 + 1

a = 0.936

r = 0.935/0.936 = 0.998

Substitute into the formula

S_\infty=\frac{0.936}{1-0.999}\\S_\infty=\frac{0.936}{0.001}\\S_\infty=936

Hence the sum of the given geometric sequence to 2 dp is 936.00

Learn more here: brainly.com/question/24643676

3 0
3 years ago
Other questions:
  • Write the point slope equation of line that goes through (5,3) with a slope of -12
    14·1 answer
  • How do you factor 7x^{2}+29x+4
    14·1 answer
  • On a day wilderness expedition you'll need to heat of water to the boiling point each day. The air temperature will average . Yo
    11·1 answer
  • What are the 2 shapes
    8·1 answer
  • Rational Numbers lbrainlyst if I get a B or more in 20 mins!!
    8·2 answers
  • Can someone please list things for a 13 year old girl's Christmas list ??
    7·2 answers
  • Find the sum of 9a+3b-5​
    5·1 answer
  • You are offered a job that pays a different amount each day. The
    5·1 answer
  • Hhhjheeeeeelllpppp mmmeeee
    6·1 answer
  • April is randomly choosing five CDs to bring in her car from the following: 6 pop CDs, 8 rock CDs, and 10 R
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!