College Algebra
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For the given functions, f(x) = √(x - 17) and g(x) = √(17 - x)
Find f/g and write the domain.
Find fg and write the domain.
For the given functions, f(x) = √(x - 11) and g(x) = √(11 - x)
Find f - g and write the domain.
Find f + g and write the domain.
For the given functions, f(x) = √(x + 7) and g(x) = √(x - 13)
For the given functions, f(x) = √(x - 7) and g(x) = √(x + 1.5)
For the given functions, f(x) = 27x/(x + 9) and g(x) = 9/(x - 7)
For the given functions, f(x) = 18x/(x + 9) and g(x) = 9/(x - 7)
For the given functions, f(x) = (9x + 2)/(x2 - 49) and g(x) = (8x + 9)/(x2 - 49)
For the given functions, f(x) = 12 + 3/(2x) and g(x) = 3/(2x)
For the given functions, f(x) = √(3x) and g(x) = 6x + 7
For the given functions, f(x) = √(4x) and g(x) = 8x + 12
For the given functions, f(x) = √4x and g(x) = 8x + 12
For the given functions, f(x) = 12 - 3x2 and g(x) = 3x2 - 18x + 27
For the given functions, f(x) = 5x2 + 33x - 14 and g(x) = x + 7
For the given functions, f(x) = x - 7 and g(x) = 7x2
For the given functions, f(x) = 7x - 1 and g(x) = 7x2
For the given functions, f(x) = 5x + 12 and g(x) = x - 6
For the given functions, f(x) = 4x + 15 and g(x) = x + 6
For the given function, find the domain.
f(x) = (7x + 4)/(x3 + x2 - 49x - 49)
f(x) = √(x - 6)/(x - 13)
f(x) = √(x - 11) + √(x + 11)
f(x) = √(69 - 23x)
Consider the three functions f(x) = 3x -8, g(x) = 5x - 4, and h(x) = x2 + 2x + 6. Find the value of f(g[h(1)]) without forming the equation for the composite function.
Consider the three functions f(x) = 3x -8, g(x) = 5x - 4, and h(x) = x2 + 2x + 6. Find the value of g(f[h(-3)]) without forming the equation for the composite function.
Consider the two functions f(x) = 3x - 8 and g(x) = 5x - 4. Find the value of (f○g)(2) without forming the equation for the composite function.
Solve: fog(x) and also find domain of fog(x) where f(x) = 3x -2; g(x) = √x
Solve: gof(x) and also find domain of gof(x) where f(x) = x3 -2; g(x) = x2 +6x
Solve: gof(x) and also find domain of gof(x) where f(x) = √x +2x; g(x) = x2 -2
Solve for g ∘ f(x) and also find the domain of g ∘ f(x).
f(x) = 1/(2-x); g(x) = 2 -1/x
Solve: fog(1/5) where f(x) = x/(x +5); g(x) = 2/x -5
Solve: gof(0) where f(x) = 4x -7; g(x) = (x +7)/4
Solve: (fog) (1) and (gof)(1) where f(x) = x1/3; g(x) = x3+2
Solve: gof(x) where f(x) = 4 +√x; g(x) = x2 +2x +2
Solve: fog(x) and gof(x) where f(x) = x2 -x; g(x) = 4 -x
Solve: fog(x) and gof(x)where f(x) = x +√x; g(x) = x2
Solve: fog(x) where f(x) = 2x +7; g(x) = 5x +1
Solve: fog(x) where f(x) = 5x; g(x) = x +2
Solve the following equation and check: (x + 2)/3 - (x - 4)/2 = 1 - x/8
Determine the values of x that will satisfy the following conditions: f(x) = 3x - 2, g(x) = x2 - 5x + 6, and (f o g) (x) = 4
Evaluate the following composite function using the graphs of f and g: (g o f)(2)
Evaluate the following composite function using the graphs of f and g: (f ○ g)(-3)
Graph f - g using the graphs shown.
Find the domain of f/g using the graphs shown.
Find the domain of f + g using the graphs shown.
Find (g/f)(-1) using the graphs of f and g.
Find (fg)(3) using the graphs of f and g.
Find (g - f)(-4) using the graphs of f and g.
Find (f + g)(2) using the graphs of f and g.
f(x) = √(16x + 64)
Determine two functions f and g so that h(x) = (f ○ g)(x): h(x) = 1/(4x - 9)
Determine two functions f and g so that h(x) = (f ○ g)(x): h(x) = |3x - 7|
Determine two functions f and g so that h(x) = (f ○ g)(x): h(x) = ∛(x² + 6)
Determine two functions f and g so that h(x)=(f ○ g)(x): h(x) = (2x + 3)5
f(x) = 6/√(4x - 12)
f(x) = √(3x - 12)
f(x) = 16/(8/2x - 2)
f(x) = 9/(x2 + 81) - 8/(x2 - 81)
f(x) = 4/(x + 8) - 6/(x - 3)
f(x) = 8/(x2 - 15x + 26)
f(x) = x2 - 15x + 26
f(x) = - 11/(x + 29)
f(x) = 17(x - 13)
The function c is a composition of two functions a and b so that c(x) = ((a ○ b)(x)).
If c(x) = √(x2 + 13x - 31), what is a(x) and b(x)?
For the given functions, find (f ◦ g)(x) and the domain of the resulting composite function if f(x) = (2x- 1)(x + 5) and g(x) = 3/x.
For each function, find: the sum, difference, product and quotient of f and g. f(x) = x2 - x - 4, g(x) = 2x2 + 5
For the given function, find the domain (in interval notation). h(x) = 5x/(x2 - x - 30)
For the given function, find the domain (in interval notation). h(x) = 11/(x+6)