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Algebra: Graphing, Distance between Points and Equations of Line
f = (-3)*x + 4 = -3x + 4 --Answer
64.)
G(x) = 4sqrt(x) - x^2
function G multiplies the square root of the domain element by 4 and subtracts the square of the domain element from the result. --Answer
78.)
f(x) = 5 - 3x^2
A.)
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Functions : Odd, Even, One-to-one, Domain, Range and Function Composition
f(x) = 2x5 + 2x3
Decide whether the relation defines a function.
3) {(-8, 2), (-8, 8), (-1, 8), (5, 6), (8, 7)}
5) y2 = 3x
Find the domain and range of the inverse of the given function.
7) f(x) = -4x - 2
Compute and simplify the difference
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Algebra: Logarithms, Exponentials, and Transformations
Find the domain of the composite function f*g
f(x)=sqrt(x); g(x)=8x+4
4. Find the domain of the composite function f*g
f(x)=4/x-2; g(x)=9/x
5. Use the transformation to identify the graph of the function.
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Inverse function
Let y = sqrt[3x^3-1]
y^2 = 3x^3-1
3x^3 = y^2 + 1
x^3 = (y^2 + 1)/3
x = [(y^2 + 1)/3]^(1/3)
note: the domain of f(x) requires 3x^3-1 > 0
or 3x^3 > 1
x^3 > 1/3
x > (1/3)^ (1/3)
also, the range is y > 0
Thus, f^-1 = [(x^2 + 1)/3]^(1/3) in the
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Inverse function Values
a) f(x)=3-2x
f(x)-3=-2x x=-0.5(f(x)-3) and then changing the role of x , f(x) gives f(x)=-0.5(x-3)
b) f(x) = SQRT(10-3x)
f(x)^2= 10-3x and 3x=10-f(x)^2 and x=1/3(10-f(x)^2) and then changing the role of x , f(x) gives f(x)= 1/3(10-x^2)
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Graphs, Equation of Line, Midpoints and Line Segments
the slopes are reciprocals
C.
the slopes are positive
D.
the slopes are equal
19.) Find the value of x in the domain of f(x)=-2x-3 for which f(x)=3
20.) If the quadratic function f(x)= -4x+6 is graphed the range has
A.)
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Properties of a parabola
22702 Properties of a parabola Find the domain, range and x intercepts of the following problem approximate to two decimal places of the function
y=3x^2-30x+5
Domain is the set of x values for which the function is defined.
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Solve for domain. Solve for x in log and ln function
295058 Solve for domain. Solve for x in log and ln function 1. Given that f(x) = sqrt(3x+6) and g(x) = x-4/x, find the following functions and express their domains in interval notation.
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34 Function Problems : Graphing, Translation, Reflection, Domains, Limits, Derivatives and Tangents
x approaches (pi/2)^+ (e^tanx)
5) lim as x approaches 2^+ (e^(3/(2-x)))
6) lim as x approaches 2^- (e^(3/(2-x)))
Differentiate the functions:
1) f(x) =x^2e^2
2) y=e^ax^3
3) f(u) =e^(1/u)
4) f(t)=e^(tsin2t)
5) y=SQRT(1+2e^3x)
6) y=e^e^x