Functions Question Preview (ID: 52729)


First Test. TEACHERS: click here for quick copy question ID numbers.

If f(x) = 2x + 1 and g(x) = x + 1, write the composite function f(f(x)).
a) f(f(x)) = 4x+3
b) f(f(x)) = 4x+4
c) g(g(x)) = x+2
d) f(g(x)) = 2x+3

If f(x) = x/2 and g(x) = x + 5, evaluate g(f(6)).
a) 8
b) 11/12
c) 3
d) 11

Which of the following is the inverse relation to the set of ordered pairs (–10, 5), (–7, 9), (0, 6), (8, –12)?
a) (5, –10), (9, –7), (6, 0), (–12, 8)
b) (–10, –5), (–7, –9), (0, –6), (8, 12)
c) (10, –5), (7, –9), (0, –6), (–8, 12)
d) (–5, 10), (–9, 7), (–6, 0), (12, –8)

For f(x) = 2x + 3 and g(x) = -x^2 + 1, find the composite function defined by (f o g)(x)
a) - 2x^2 + 5
b) 2x^3 + 5
c) x^2 + 4
d) -2x^2 - 5

If f(x) = 2x + 1 and g(x) = x+1, evaluate f(g(4)).
a) 11
b) 10
c) 19
d) 9

Given f(x) = 9x^2 + 7x and g (x) = 2 − x, determine 5g(x) − f(x)
a) 45x^2 + 36x − 2
b) 9x^2 + 6x + 2
c) 45x^2 + 6x − 5
d) −9x^2 − 12x + 10

Given the functions f(x) = x^2 − 8 and g (x) = −5 − x, determine an equation for the combined function h (x) = f(g (x)).
a) y = x^2 + 10x + 17
b) y = −x^2 − 13
c) y = −x^2 + 3
d) y = x^2 − 10x + 3

Given the functions f(x) = x^3 − 81x and g (x) = x + 9, determine the simplified equation for the combined function y = f(x)/g (x) .
a) x(x + 9), x ≠ −9
b) x(x − 9), x ≠ −9
c) x/(x − 9) , x ≠ −9, 9
d) x/(x + 9) , x ≠ −9

Given the functions f(x) = x + 3 and g (x) = 1/(x − 3), what is the simplified form of f(g(x))?
a) f(g(x)) = − 8/x , x ≠ 0
b) f(g(x)) = (3x − 8)/((x + 3) , x ≠ −3
c) f(g(x)) = (3x − 8)/(x − 3) , x ≠ 3
d) f(g(x)) = 1/x , x ≠ 0

Evaluate f(x)=-2t^2+ 1 for f(2)
a) 9
b) -17
c) 17
d) -7

Given the functions f(x) = x^2 − 8 and g (x) = −2 − x^2 , determine the equation for the combined function y = f(x) + g (x).
a) −6 − 2x^2
b) −10
c) 16 − x^4
d) 4 − x

If f(x) = 4x - 3. find f(9)
a) 10
b) 3
c) 33
d) 10

If f(x) = 4x - 3. find f(-4)
a) 10
b) -19
c) -25
d) -3

What is the range for the following function? (2,3) (4,7) (3,9) (5,7)
a) 3,7,9
b) 2,3,4,5
c)
d)

What is the domain for the following function? (2,3) (4,7) (3,9) (5,7)
a) 3,7,9
b) 2,3,4,5
c)
d)

What is range
a) output vaues
b) input values
c) space
d)

What is the domain
a) output values
b) input values
c) home
d)

Is the following a Function? (2,3) (4,7) (3,9) (5,7)
a) yes
b) no
c)
d)

Which point will make the following not a function? (3,7) (2,4) (5,2) (6,3)
a) (10,12)
b) (3,12)
c) (8,7)
d) (9,12)

A function is a relation where the input is mapped to ________ output
a) one
b) many
c) all
d)

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