Question

Please Hurry!!! THANKS!!

Answer 1

first one is A. I have no idea what the second is. good luck, it might be D.

Answer 2

1) 3x³ - x² - 15x + 5

2) x² - 4

3) (5, 3)

4) f⁻¹(x) = 1/3x - 4

Explanation:

1......................

Given

• f(x) = 3x - 1
• g(x) = x² - 5
• f(x) · g(x) =?

Solution

• f(x) · g(x) = (3x - 1)(x² - 5) =
• 3x·x² - 3x·5 - x² + 5 =
• 3x³ - x² - 15x + 5

Correct option is A.

2......................

Given

• f(x) = x²
• g(x) = x - 4
• g(f(x)) =?

Solution

• g(f(x)) = g(x²) = x² - 4

Correct option is D.

3......................

Point (5, 3) is the inverse of point (3,5)

Correct option is C

4......................

Given

• f(x) = 3x - 12

• Inverse of function = ?

Solution

To get the inverse of the function, switch over domain and range:

• x = 3f⁻¹(x) - 12
• 3f⁻¹(x) = x - 12
• f⁻¹(x) = 1/3x - 4

Correct option is D.