A function f is given. (a) Sketch the graph of f. (b) Use the graph of f to sketch the graph of f -1. (c) Find f -1. f(x) = 3x - 6

Q: find the center and the length of a radius of each circle. x2 + y2 + 4x + 14y + 50 = 0

A:  x2 + y2 + 4x + 14y + 50 = 0

Q: graph each ellipse. 25x2 + 36y2 = 900

A: Given equation is: 25x2+36y2=900 Then we get, 25x2900+36y2900=1⇒x236+y225=1⇒x262+y252=1 The above eq...

Q: The grid map shows the location of the houses of some of Kendra's friends. Which friend lives at (-3...

A: Given grid map shows the location of houses,  

Q: X+y=0,y=- (Xx-

A:

Q: Solve the following system of linear equations using the inverse method: 30x + 10y + 10z = 90 x +y+z...

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Q: Find the domain of the function.

A: Given function is gx=2x2+5x+32x2-5x-3. To find the domain of the function. Solution: Domain is the i...

Q: Determine the simple interest rate at which $2400 will grow to $2532 in 8 months. (Round your answer...

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Q: Solve the following linear system equations: 12x + 4y - 6z = -1,4x - 8y + 4z = 1 and 4x + 4y - 3z = ...

A: Solution: The objective is to solve the given linear system

Q: Find the inverse function of f.

A: We can find the inverse of a function f(x) algebraically by taking the function f(x) as a variable y...

Q: Use properties of logarithms to find the exact value of each expression. Do not use a calculator.

A: To find the exact value of given expression using properties of logarithm. Explanation: If we have l...

Q: The ratio of the volume of wate 2:1. When 482 ml of water is p the ratio becomes 3:2. How m total?

A: Given that,                   Volume of water in container AVolume of water in container B=21       ...

Q: (a) Graph f(x) = 2x and g(x) = 12 on the same Cartesian plane.(b) Shade the region bounded by the y-...

A: fx=2x  &  gx=12 a). The graph is,

Q: Determine the rate that represents the better deal. 6% compounded quarterly or 6 (1/4) , compounded ...

A: The first rate of interest, r1=6% compounded quarterly. Then, the number of terms for r1 is n1=4. Th...

Q: graph each equation. y = -2x2 - 4x - 3

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Q: For the given linear function, make a table of values and sketch its graph. What is the slope of the...

A: Given f(x)=2x-5

Q: - The average rate of change of the function f(x) = x? between x = 1 and x = 5 is average rate of ch...

A: The average rate of change is the rate of change of one quantity depending on the change of another ...

Q: uestion 5 5. Let U= {11, 12, 13, 14, 15, 16, 17, 18, 19} and A {12, 14, 16, 18), B = {12, 15, 16, 19...

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Q: Plwase solve it quickly

A: we know that, probablity P(x=a) = event probability P(a) / total probability P(x) from this we will ...

Q: Algebra Question

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Q: Find the inverse function of f.

A: Solution:Givenf(x)=x2+x,    x≥-12To find the inverse of the function:

Q: Use the first derivatives to find the local exterme of f(x) =x³ -12x on R

A: We have to find local extrema by first derivative test. 

Q: Determine the domain of f(x) = √(10 - 2x).

A: Given: fx=10-2x Domain of a function is the set of all values of x for which function is defined and...

Q: Electronic Waste As technology advances there are more and more obsolete electronic devices that nee...

A: Given: The function f(x)=40x estimates the millions of tons of electronic waste that will accumulate...

Q: Find the inverse function of f.

A: An inverse function is reverse of the given function. In simple words if a function f takes input va...

Q: Determine whether the given function is linear. If the function is linear, express the function in t...

A: We have determine the given function is linear or not in form of fx=ax+b: fx=3+13x Rewriting the giv...

Q: write the equation of the line that satisfies the stated conditions. Express final equations in stan...

A: Line contains the points 0, 4 and 2, 6.

Q: Use the given function f. (a) Find the domain of f.                        (b) Graph f.             ...

A: Since you have posted multiple subparts, as per our policy we will answer first three subparts. Plea...

Q: PRACTICE ANOTHER   Find the simple interest on a $1900 investment made for 4 years at an interest...

A: Principal amount = $1900 Interest Rate = 8% time = 4 years To find the  Simple interest  $ accu...

Q: A graph of a function is given. Use the graph to find the indicated values.

A: A graph

Q: The following Angles are Complementary. Find the value of x. * 6x+10 9x + 20 Your answAr

A: Sum of complimentary angle is 90

Q: A graph of a function f is given. Determine whether f is one-to-one.

A: By horizontal test, if a horizontal line crosses the given graph more than once, then the function i...

Q: Sketch the graph of the function, not by plotting points, but by starting with the graph of a standa...

A: Given y = (x - 3)2 + 5 we need to  Sketch the graph of the function, not by plotting points, but by ...

Q: U.S. AIDS Deaths The function D defined by D(x) = 2375x² + 5134x + 5020 models AIDS deaths x years a...

A: Given function is Dx=2375x2+5134x+5020. Here x = 0 represents the year 1984.

Q: The function f(x) = x4 is not one-to-one. Find a suitable restriction on the domain of f so that the...

A: f(x)=x4  

Q: At a funfair, the ratio of the number of boys to the number of girls is 4:3. The ratio of the number...

A: Given : Ratio of boys to girls is 4: 3 and ratio of adults to girls is 3:2 Let the number of boys, g...

Q: Find the angle 0 between the vectors. u (3, 2, 0), v (-2, 3, 4) radians

A: Given u=(3,2,0) and v=(-2,3,4) u.v=-6+6+0         =0         =0 u=32+22+02      =9+4      =13v=(-2)2...

Q: Show that each of the following polynomials is irreducible over the field Q of rational numbers   f ...

A: Consider the provided function, fx=8x3-2x2-5x+10 Show that each of the following polynomials is irre...

Q: Exercises 69 and 70: Graph the function f. State the slope m and y-intercept of the graph. 69. f(x) ...

A: Question 69 - Given function - f(x) = 4-2xLet f(x) = y, for simplicity.y = 4-2xy =-2x+4     ...........

Q: Hello please help   solve this as theorem (explain every step little bit)

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Q: - DVD Player Sales The table shows the number of DVD play- ers sold in a small electronics store in ...

A: The average rate of change from time t1 to time t2 with players sold at two times being A1,A2 respec...

Q: Use the Inverse Function Property to show that f and g are inverses of each other.

A: A function is a relation between set of input values and the set of output values. The composite fun...

Q: Find the following. f(x) = x2 + 3,    g(x) = square root 4-x   (a)    (f + g)(x) =        (b)...

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Q: Which tem of the sequence-1,3,7,11, is 95 ?

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Q: Form a polynomial function whose real zeros and degree are given. Answers will vary depending on the...

A: Given: Zeros of the polynomial=-1,1,3 Degree=3

Q: Suppose that ln 2 = a and ln 3 = b. Use properties of logarithms to write the logarithm in terms of ...

A: We have to write in terms of a and b by using properties of logarithm for the given logarithm functi...

Q: A function is given. Determine (a) the net change and (b) the average rate of change between the giv...

A: Given, r(t)=3-t3;  t=3, t=6

Q: Sketch the graph of the function f(x) = 1 - 2(x - 3)2.

A: Sketch the graph of the function f(x) = 1 - 2(x - 3)2. the function can be rewritten as  f(x)=1-2x-3...

Q: Write each number using scientific notation. (a) 348,500,000 (b) -1237.4 (c) 0.00198

A: To write each number using scientific notation: The scientific notation is the way of writing any nu...

Q: Determine the type(s) of symmetry (symmetry with respect to the x axis, y axis, and/or origin) exhib...

A: Given y=-x3 y+x3=0  -----(1) To determine the types of symmetry: Symmetry test about x-axis: Substit...

Q: Use the Change-of-Base Formula and a calculator to evaluate the logarithm. Round your answer to thre...

A: Logarithm function has domain as the whole of real numbers whereas range as only positive real numbe...

Transformation of Graphs

The word ‘transformation’ means modification. Transformation of the graph of a function is a process by which we modify or change the original graph and make a new graph.

Exponential Functions

The exponential function is a type of mathematical function which is used in real-world contexts. It helps to find out the exponential decay model or exponential growth model, in mathematical models. In this topic, we will understand descriptive rules, concepts, structures, graphs, interpreter series, work formulas, and examples of functions involving exponents.