For Exercises 3-14, refer to the functions defined below. f ( x ) = x + 4 g ( x ) = 2 x 2 + 4 x h ( x ) = x 2 + 1 k ( x ) = 1 x Find the indicated functions. (See Example 1 .) ( g f ) ( x )
For Exercises 3-14, refer to the functions defined below. f ( x ) = x + 4 g ( x ) = 2 x 2 + 4 x h ( x ) = x 2 + 1 k ( x ) = 1 x Find the indicated functions. (See Example 1 .) ( g f ) ( x )
Solution Summary: The author explains how to calculate the value of (gf).
2. (MG 8, Section 5 Purple). For the three exercises below, use a graph and the Horizontal Line Test to determine if
each function represents a one-to-one function. Explain your reasoning.
(a) f(x) =x² + 3x+2
(b) f(x) =x³ – 5x+10
(c) f(x) =x³ + 5x+10
The function f(x)=0.5(2)xf(x)=0.5(2)x represents the growth in square centimeters of a fungus after x days.
Which of the following are TRUE? Select all that apply.
A
f(8)=1f(8)=1
B
f(8)=128f(8)=128
C
f(10)=512f(10)=512 represents the value of the function after 10 days.
D
f(64)f(64) represents the amount of fungi after 64 days.
E
f(85)f(85) represents the amount of days it takes for the fungi to reach 85 cm2cm2
The graphs below represent a parent function, f ( x ) , and a transformed function, g ( x ) . Which symbolic formula correctly expresses the relationship between f ( x ) and g ( x ) ?
g(x)=2f(x)g(x)=2f(x)
g(x)=f(12x)g(x)=f(12x)
g(x)=f(2)g(x)=f(2)
g(x)=12f(x)g(x)=12f(x)
None of the above
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, algebra and related others by exploring similar questions and additional content below.