Fog and Gof Math Problems

Introduction to fog and gof math problems:
Basically fog and gof math problems are nothing but we have to convert the one function into other function. If the given function is in the form of f(x) mean we have to convert this into f (g (x)) form. If the given function is in the g (x) form then we have to change this into g (f (x)) form.  Let us see some example for these types of problems.


Example for fog and gof math problems


Example 1:

Find the fog and gof for the given math problems. Where f (x) = x and g (x) = 3x + 4

Solution:

First we have to find fog for the given problem.  For that first we have to find the g(x).

Where g (x) = 3x + 4

fog = f (g (x)) = f (3x + 4) = 3x + 4

Likewise we have to find gof for the given math problem.

gof mean first we have to find f(x)

Where f (x) = x

Then gof = g (f (x)) = g (x) = 3x +4

From the above we understand we have to write the output of the one function value into the other function form.

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Example 2:


Find the fog and gof for the given math problems. Where f(x) = 2x + 5 and g(x) = 5x

Solution:

First we have to find fog for the given problem.  For that first we have to find the g(x).

Where g (x) = 5x

fog = f (g (x)) = f (5x) = 2(5x) + 5

= 10x + 5

Likewise

gof mean first we have to find f(x)

Where f (x) = 2x + 5

Then gof = g (f (x)) = g (2x + 5) = 5(2x + 5)

= 10x + 25

If suppose we are having the square or cubic function mean we have to find the square or cubic roots. After that we have to expand the function. From the above there is no square or cubic value. So we just find the function values.

Answer Math Problems For You

Introduction to answer math problems:

Mathematics is the study of quantity, structure, space, and change. Mathematicians seek out patterns, formulate new conjectures, and establish truth by rigorous deduction from appropriately chosen axioms and definitions. I like to share this Small Sample Size Statistics with you all through my article.

Applied mathematics, the branch of mathematics concerned with application of mathematical knowledge to other fields, inspires and makes use of new mathematical discoveries and sometimes leads to the development of entirely new mathematical disciplines, such as statistics and problems of game theory.

SOURCE: WIKIPEDIA


Examples of answer math problems:


Math problem 1:

Solve the equation 5(-3y - 2) - (y - 3) = -4(4y + 5) + 13

Solution:

Given the equation 5(-3y - 2) - (y - 3) = -4(4y + 5) + 13

First we can multiply the factors for both left hand side and right hand side.

-15y - 10 - y + 3 = -16y - 20 +13

Here we can group the like terms on both sides. Then we get.

-16y - 7 = -16y – 7

Add 16y+7 on both sides. Then we get the final answer.

0=0

Therefore all real numbers are possible solution to the given equation.

Math problem 2:

Solve p: 2p – 4q = 9

Solution:

Given 2p– 4q=9

If we can find p intercept value we set the q=0.

Then we can find the p value.

Substitute the value of q (q=0) into the above equation.

2p– 4(0) =9

2p– 0=9

2p=9

Divide by the value 2 on both sides. Then we get the final answer.

`(2p)/2` =`9/2`

p=`9/2`

Answer: `9/2`

Math problem 3:

Find the area of following figure:

Solution:

Given length= 15 ft and width= 7 ft

We can find the area of rectangle by using the following formula:

Area A= length*width or (l*w)

Substitute the value of l and w into the above formula and then we get the final answer.

Area A= 15*7

= 105 ft2

Answer: 105 ft2

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Practice problems of math:


Problems:

Solve x: 10+5x=50
Solve y: 2y+3x=5
Find the perimeter of square with the side value 5 cm.
Answer key:

x= 8
y=`5/2`
20 cm