Math 110 Exam Practice questions and answers
2025
-65 + 72i
Perform the indicated operations and write the result in standard form.
(-4 - √-81)²
(4 - √-15) + (2√3 + 2√5)i
Perform the indicated operations and write the result in standard form.
(2 + √-5) (2 + √-3)
12 + 28i
Perform the indicated operations and write the result in standard form.
√-16(7-√-9)
graph dashed line
Use the graph of the function f, plotted with a solid line, to sketch the graph of the given
function g.
g(x) = -f(x + 1) + 2
y = f(x)
graph both lines
Begin by graphing the standard absolute value function f(x) = x . Then use transformations of
this graph to graph the given function.
,g(x) = 1/3 |x+2| + 6
5225
For the given functions f and g , find the indicated composition.
f(x) = 15x² - 10x, g(x) = 12x - 5
(f∘g )(2)
25x / 4-40x
For the given functions f and g , find the indicated composition.
f(x) = 5 / x-8, g(x) = 5x-5
(f∘g)(x)
20x² + 25x + 15
For the given functions f and g , find the indicated composition.
f(x) = 4x² + 5x + 4, g(x) = 5x - 5
(g∘f)(x)
f -1(x) = 5/3x - 7/3
Find the inverse of the one-to-one function
f(x) =x+7
f-1(x) = ³√x + 4
, Find the inverse of the one-to-one function
f(x) = (x-4)³
f-1(x) = x² + 6
Find the inverse of the one-to-one function
f(x) = √x-6
g(x) = (x + 2)²- 2
The graph of a quadratic function is given. Determine the function's equation.
g(x) = x² + 6x + 9
The graph of a quadratic function is given. Determine the function's equation.
(-1,4)
Find the coordinates of the vertex for the parabola defined by the given quadratic function.
f(x) = 3 - x² - 2x
(-∞, 7]
Find the range of the quadratic function.
f(x) = -x² - 8x - 9
Domain: (-∞ , ∞ )
Range: [-12 , ∞)
Find the domain and range of the quadratic function whose graph is described.
The vertex is (-1, -12) and the graph opens up.
[-9, ∞)
2025
-65 + 72i
Perform the indicated operations and write the result in standard form.
(-4 - √-81)²
(4 - √-15) + (2√3 + 2√5)i
Perform the indicated operations and write the result in standard form.
(2 + √-5) (2 + √-3)
12 + 28i
Perform the indicated operations and write the result in standard form.
√-16(7-√-9)
graph dashed line
Use the graph of the function f, plotted with a solid line, to sketch the graph of the given
function g.
g(x) = -f(x + 1) + 2
y = f(x)
graph both lines
Begin by graphing the standard absolute value function f(x) = x . Then use transformations of
this graph to graph the given function.
,g(x) = 1/3 |x+2| + 6
5225
For the given functions f and g , find the indicated composition.
f(x) = 15x² - 10x, g(x) = 12x - 5
(f∘g )(2)
25x / 4-40x
For the given functions f and g , find the indicated composition.
f(x) = 5 / x-8, g(x) = 5x-5
(f∘g)(x)
20x² + 25x + 15
For the given functions f and g , find the indicated composition.
f(x) = 4x² + 5x + 4, g(x) = 5x - 5
(g∘f)(x)
f -1(x) = 5/3x - 7/3
Find the inverse of the one-to-one function
f(x) =x+7
f-1(x) = ³√x + 4
, Find the inverse of the one-to-one function
f(x) = (x-4)³
f-1(x) = x² + 6
Find the inverse of the one-to-one function
f(x) = √x-6
g(x) = (x + 2)²- 2
The graph of a quadratic function is given. Determine the function's equation.
g(x) = x² + 6x + 9
The graph of a quadratic function is given. Determine the function's equation.
(-1,4)
Find the coordinates of the vertex for the parabola defined by the given quadratic function.
f(x) = 3 - x² - 2x
(-∞, 7]
Find the range of the quadratic function.
f(x) = -x² - 8x - 9
Domain: (-∞ , ∞ )
Range: [-12 , ∞)
Find the domain and range of the quadratic function whose graph is described.
The vertex is (-1, -12) and the graph opens up.
[-9, ∞)
