Functions (general)

Hannah is planning a road trip and calculates her travel costs using two functions. The first function, f(x) = 3x + 10, represents the total cost in dollars of snacks for x hours of travel. The second function, g(x) = x - 2, represents the number of hours she actually travels, subtracting 2 hours for planned breaks. Find the total cost of snacks for a 5-hour trip, using f(g(5))

• 19

• 23

• -10

• None of these.

Given f and g in the graph,

what is (f ° g)(-1) ?

• 1

• 4

• -1

• 6

If f(x) = x³ and g(x) = 1/x³ are f(g(x)) and g(f(x)) the same?

• yes

• no

f(x) = 3x + 10

g(x) = x - 2

Find f(g(5))

• 23

• 19

• -10

• 16

• 
• 
• 
• 

p(x) = 3x + 4

q(x) = 2x²

Find q(p(x))

• None of these

• 6x² + 4

• 18x² + 32

• 18x² + 48x + 32

Find g(f(-2))

• -18

• -2

• 1

• 9

Functions f and g are defined by

f:x→ x/(x-1) and g:x→ax+b

Given that g(3) = 8 and gf(2) = 5, calculate the value of a and of b...Go to Mr. Sharif for the secret code(top secret!)

• Blue

• Aqua

• Orange

• Pink

Express your answer as a polynomial in standard form.

f(x) = -3x + 6

g(x) = x² - 6x + 3

Find: (g ₀ f)(x)