SAT Subject Test Math Level 2 Practice Test: Combining Functions

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Question 7 questions

Time 8 minutes

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1. If f(x) = 3x2 - 2x + 4, f(-2) =

A. -12
B. -4
C. -2
D. 12
E. 20

2. If f(x) = 4x - 5 and g(x) = 3x, then f(g(2)) =

A. 3
B. 9
C. 27
D. 31
E. none of the above

3. If f(g(x)) = 4x2 - 8x and f(x) = x2 - 4, then g(x) =

A. 4 - x
B. x
C. 2x - 2
D. 4x
E. x2

4. What values must be excluded from the domain of (x) if f(x) = 3x2 - 4x + 1 and g(x) = 3x2 - 3?

A. 0
B. 1
C. 3
D. both ±1
E. no values

5. If g(x) = 3x + 2 and g(f(x)) = x, then f(2) =

A. 0
B. 1
C. 2
D. 6
E. 8

6. If p(x) = 4x - 6 and p(a) = 0, then a =

A. -6
B.
C.
D.
E. 2

7. If f(x) = ex and g(x) = sin x, then the value of (fg)( ) is

A. -0.01
B. -0.8
C. 0.34
D. 1.8
E. 2.7