If f(x)=5x^3-2 and g(x)=2x1, find (f+g)(x).

Note: your g(x) function is a little bit unclear. Thus, I am assuming that

g(x) = 2x-1

Anyway, the procedure remains the same. It would anyways clear your concpet.

(f+g)(x) = 5x³ + 2x - 3

Step-by-step explanation:

Given

f(x) = 5x³ - 2

g(x) = 2x - 1

To determine

(f+g)(x) = ?

Using the formula expression

(f+g)(x) = f(x) + g(x)

           = 5x³ - 2 + 2x - 1

           =  5x³ + 2x - 3

Therefore, we conclude that:

(f+g)(x) = 5x³ + 2x - 3

m∠cdf = 43° , m∠gdf = 114°, m∠gde = 23°, m∠edh = 23° , m∠cdh = 157°

step-by-step explanation:

since, it is given that de bisects the angle gdh ⇒ de divides the angle gdh into two equal angles.

⇒ m∠gde = m∠edh

⇒ 8·x   - 1 = 6·x + 5

⇒ x = 3

so, m∠gde = 8·x - 1 = 23°

and m∠edh = 23°

now, it is given ∠cde is an straight angle so, m∠cde = 180°

⇒ m∠cdf + m∠fdg + m∠gde = 180°

⇒ 43° + m∠fdg + 23° = 180°

⇒ m∠fdg = 114°

again, m∠cde = m∠cdh + m∠edh = 180°

m∠cdh + 23° = 180°

⇒ m∠cdh = 157°

true

step-by-step explanation: