Function Operations & Inverses (Ch. 6 part 2)

Given

f(x) = 3x² + 7x and g(x) = 2x² - x - 1, find (f + g)(x).

• 11x² - 1

• 5x⁴ + 6x² - 1

• 5x² + 6x - 1

• 5x² + 8x - 1

f(x) = 3x + 10
g(x) = x - 2
Find f(g(5))

• 19
• 23
• -10
• None of these.

f(x) = 3x + 10
g(x) = x - 2
Find f(g(0))

• 16
• 4
• -4
• None of these.

Evaluate the function for the given inputs.
For f(x) = -2x + 4,
find f(x) when x = -5

• f(-5) = -6
• f(-5) = -3
• f(-5) = 14
• f(-5) = 2

f(x)=x²+1
g(x)=2x-5
Find f(x)-g(x)

• x²-2x+6
• -x²+2x+4
• -x²-2x-6
• x²-2x-4

If g(x) = 6x + 4 and f(x) = 3, find f(x) * g(x)

• 18x + 4

• 9x + 7

• 6x + 7

• 18x + 12

Find f^-1(x) of f(x) = -x + 1

• x + 1

• x - 1

• -x + 1

• -x - 1

What's the name of the inverse of g(x)?

• f(x)
• f^-1(x)
• y
• g^-1(x)

Find the inverse of f(x) = 3x +8

• f^-1(x) = 3(x-8)
• f^-1(x) = (8x-1)/3
• f^-1(x) = (x-8)/3
• f^-1(x) = (x+8)/3