 1.8.1: In 13, find the following: (a) f(g(x)) (b) g(f(x)) (c) f(f(x))f(x) ...
 1.8.2: In 13, find the following: (a) f(g(x)) (b) g(f(x)) (c) f(f(x))f(x) ...
 1.8.3: In 13, find the following: (a) f(g(x)) (b) g(f(x)) (c) f(f(x))f(x) ...
 1.8.4: Let f(x) = x2 and g(x) = 3x 1. Find the following: (a) f(2) + g(2) ...
 1.8.5: For g(x) = x2 + 2x + 3, find and simplify: (a) g(2 + h) (b) g(2) (c...
 1.8.6: If f(x) = x2 + 1, find and simplify: (a) f(t + 1) (b) f(t2 + 1) (c)...
 1.8.7: For the functions f and g in 710, find (a) f(g(1)) (b) g(f(1)) (c) ...
 1.8.8: For the functions f and g in 710, find (a) f(g(1)) (b) g(f(1)) (c) ...
 1.8.9: For the functions f and g in 710, find (a) f(g(1)) (b) g(f(1)) (c) ...
 1.8.10: For the functions f and g in 710, find (a) f(g(1)) (b) g(f(1)) (c) ...
 1.8.11: Use Table 1.37 to find: (a) f(g(1)) (b) g(f(1)) (c) f(g(4)) (d) g(f...
 1.8.12: Use Table 1.38 to find: (a) f(g(0)) (b) f(g(1)) (c) f(g(2)) (d) g(f...
 1.8.13: Make a table of values for each of the following functions using Ta...
 1.8.14: Use the variable u for the inside function to express each of the f...
 1.8.15: Use the variable u for the inside function to express each of the f...
 1.8.16: Simplify the quantities in 1619 using m(z) = z2. m(z + 1) m(z) 1
 1.8.17: Simplify the quantities in 1619 using m(z) = z2. m(z + h) m(z) 1
 1.8.18: Simplify the quantities in 1619 using m(z) = z2. m(z) m(z h) 1
 1.8.19: Simplify the quantities in 1619 using m(z) = z2. m(z+h)m(zh) 2
 1.8.20: For 2025, use the graphs in Figure 1.80. Estimate f(g(1)). 2
 1.8.21: For 2025, use the graphs in Figure 1.80. Estimate g(f(1)). 2
 1.8.22: For 2025, use the graphs in Figure 1.80. Estimate f(g(4)). 2
 1.8.23: For 2025, use the graphs in Figure 1.80. Estimate g(f(4)). 2
 1.8.24: For 2025, use the graphs in Figure 1.80. Estimate f(f(2)). 2
 1.8.25: For 2025, use the graphs in Figure 1.80. Estimate g(g(2)). 2
 1.8.26: For 2629, use the graphs in Figure 1.81. Estimate f(g(1)). 2
 1.8.27: For 2629, use the graphs in Figure 1.81. Estimate g(f(2)). 2
 1.8.28: For 2629, use the graphs in Figure 1.81. Estimate f(f(1)). 2
 1.8.29: For 2629, use the graphs in Figure 1.81. Estimate f(g(3)). 3
 1.8.30: Using Table 1.39, create a table of values for f(g(x)) and for g(f(...
 1.8.31: A tree of height y meters has, on average, B branches, where B = y1...
 1.8.32: In 3235, use Figure 1.82 to estimate the function value or explain ...
 1.8.33: In 3235, use Figure 1.82 to estimate the function value or explain ...
 1.8.34: In 3235, use Figure 1.82 to estimate the function value or explain ...
 1.8.35: In 3235, use Figure 1.82 to estimate the function value or explain ...
 1.8.36: The Heaviside step function, H, is graphed in Figure 1.83. Graph th...
 1.8.37: In 3742, use Figure 1.84 to graph the function. y = f(x) + 1 3
 1.8.38: In 3742, use Figure 1.84 to graph the function. y = f(x 2) 3
 1.8.39: In 3742, use Figure 1.84 to graph the function. y = 3f(x) 4
 1.8.40: In 3742, use Figure 1.84 to graph the function. y = f(x + 1) 2 4
 1.8.41: In 3742, use Figure 1.84 to graph the function. y = f(x) + 3 4
 1.8.42: In 3742, use Figure 1.84 to graph the function. y = 2f(x 1) 4
 1.8.43: For the functions f in 4345, graph: (a) f(x +2) (b) f(x 1) (c) f(x)...
 1.8.44: For the functions f in 4345, graph: (a) f(x +2) (b) f(x 1) (c) f(x)...
 1.8.45: For the functions f in 4345, graph: (a) f(x +2) (b) f(x 1) (c) f(x)...
 1.8.46: In 4651, use Figure 1.85 to graph the function. y = f(x) + 2 4
 1.8.47: In 4651, use Figure 1.85 to graph the function. y = 2f(x) 4
 1.8.48: In 4651, use Figure 1.85 to graph the function. y = f(x 1) 4
 1.8.49: In 4651, use Figure 1.85 to graph the function. y = 3f(x) 5
 1.8.50: In 4651, use Figure 1.85 to graph the function. y = 2f(x) 1 5
 1.8.51: In 4651, use Figure 1.85 to graph the function. y = 2 f(x) 5
 1.8.52: Morphine, a painrelieving drug, is administered to a patient intra...
 1.8.53: (a) Write an equation for a graph obtained by vertically stretching...
 1.8.54: The volume of the balloon t minutes after inflation began. 5
 1.8.55: The volume of the balloon if its radius were twice as big. 5
 1.8.56: The time that has elapsed when the radius of the balloon is 30 feet. 5
 1.8.57: The time that has elapsed when the volume of the balloon is 10,000 ...
Solutions for Chapter 1.8: NEW FUNCTIONS FROM OLD
Full solutions for Applied Calculus  5th Edition
ISBN: 9781118174920
Solutions for Chapter 1.8: NEW FUNCTIONS FROM OLD
Get Full SolutionsChapter 1.8: NEW FUNCTIONS FROM OLD includes 57 full stepbystep solutions. Applied Calculus was written by and is associated to the ISBN: 9781118174920. This textbook survival guide was created for the textbook: Applied Calculus, edition: 5. Since 57 problems in chapter 1.8: NEW FUNCTIONS FROM OLD have been answered, more than 15613 students have viewed full stepbystep solutions from this chapter. This expansive textbook survival guide covers the following chapters and their solutions.

Acute angle
An angle whose measure is between 0° and 90°

Composition of functions
(f ? g) (x) = f (g(x))

Cosine
The function y = cos x

Damping factor
The factor Aea in an equation such as y = Aeat cos bt

Difference identity
An identity involving a trigonometric function of u  v

Geometric sequence
A sequence {an}in which an = an1.r for every positive integer n ? 2. The nonzero number r is called the common ratio.

Graph of a function ƒ
The set of all points in the coordinate plane corresponding to the pairs (x, ƒ(x)) for x in the domain of ƒ.

Graph of an equation in x and y
The set of all points in the coordinate plane corresponding to the pairs x, y that are solutions of the equation.

Graph of an inequality in x and y
The set of all points in the coordinate plane corresponding to the solutions x, y of the inequality.

Logarithm
An expression of the form logb x (see Logarithmic function)

Midpoint (on a number line)
For the line segment with endpoints a and b, a + b2

Opposite
See Additive inverse of a real number and Additive inverse of a complex number.

Positive numbers
Real numbers shown to the right of the origin on a number line.

Projection of u onto v
The vector projv u = au # vƒvƒb2v

Rational zeros theorem
A procedure for finding the possible rational zeros of a polynomial.

Real number
Any number that can be written as a decimal.

Symmetric about the origin
A graph in which (x, y) is on the the graph whenever (x, y) is; or a graph in which (r, ?) or (r, ? + ?) is on the graph whenever (r, ?) is

Trigonometric form of a complex number
r(cos ? + i sin ?)

Variance
The square of the standard deviation.

Weights
See Weighted mean.