Function Operations

Given f(x)= 3x+2 and g(x)= x-5, find (f * g)(x).

• 3x^2 - 10x - 10

• 3x^2 - 13x - 10

• 3x^2 - 13x + 10

• 3x^2 + 10x - 10

Define function operations.

• Function operations refer to the ways in which two or more functions can be combined to create new functions, including addition, subtraction, multiplication, and division.

• Function operations are the methods used to differentiate functions from one another.

• Function operations involve the graphical representation of functions only.

• Function operations are limited to the addition of functions.

Given f(x)= 2x+5 and g(x)= 3x-9, what is f(x) + g(x)?

• 5x - 4

• 5x + 4

• 6x - 4

• 6x + 4

Given f(t)= 3t+2 and g(t)= t^2-5, find (f-g)(t).

• -t^2 + 3t + 7

• -t^2 + 3t + 5

• t^2 + 3t - 3

• t^2 - 3t + 7

What is the formula for (f + g)(x)?

• (f + g)(x) = f(x) + g(x)

• (f + g)(x) = f(x) - g(x)

• (f + g)(x) = f(x) * g(x)

• (f + g)(x) = f(x) / g(x)

What is the formula for (f - g)(x)?

• (f - g)(x) = f(x) + g(x)

• (f - g)(x) = f(x) - g(x)

• (f - g)(x) = f(x) * g(x)

• (f - g)(x) = f(x) / g(x)

What is the formula for (f * g)(x)?

• (f * g)(x) = f(x) + g(x)

• (f * g)(x) = f(x) - g(x)

• (f * g)(x) = f(x) * g(x)

• (f * g)(x) = f(x) / g(x)

What is the difference between even and odd functions?

• Even functions satisfy f(-x) = f(x) for all x, while odd functions satisfy f(-x) = -f(x) for all x.

• Even functions satisfy f(x) = 0 for all x, while odd functions satisfy f(x) = 1 for all x.

• Even functions are defined only for positive x, while odd functions are defined for negative x.

• Even functions are always increasing, while odd functions are always decreasing.

What is the formula for (f / g)(x)?

• (f / g)(x) = f(x) + g(x)

• (f / g)(x) = f(x) - g(x)

• (f / g)(x) = rac{f(x)}{g(x)}

• (f / g)(x) = f(x) imes g(x)

Given f(a)= 3a+7 and g(a)= 4a^2-8, find (f/g)(a).

• (f/g)(a) = \frac{3a+7}{4a^2-8}

• (f/g)(a) = \frac{3a^2+7}{4a-8}

• (f/g)(a) = \frac{3a+7}{4a^2+8}

• (f/g)(a) = \frac{3a-7}{4a^2-8}