Answer:
The value of f[ g(x) ] = 7x + 27
Step-by-step explanation:
It is given that, f( x ) = 7x + 13 and g( x ) = x + 2
<u>To find the value of f(g(x))</u>
g(x) = x + 2 and 7x + 13 (given)
Let g(x) = x + 2
f [ g(x) ] = 7(x + 2) + 13 [ substitute the value of g(x) in f(x) ]
= 7x + 14 + 13
= 7x + 27
Therefore the value of f[ g(x) ] = 7x + 27
Answer:
see explanation
Step-by-step explanation:
(a)
Given
x² + 5x + 6
Consider the factors of the constant term ( + 6) which sum to give the coefficient of the x- term ( + 5)
The factors are 3 and 2, since
3 × 2 = 6 and 3 + 2 = 5, hence
x² + 5x + 6 = (x + 3)(x + 2) ← in factored form
(b)
To solve
x² + 5x + 6 = 0 ← use the factored form, that is
(x + 3)(x + 2) = 0
Equate each factor to zero and solve for x
x + 3 = 0 ⇒ x = - 3
x + 2 = 0 ⇒ x = - 2
Answer:
{x | x = –5, –3, 1, 2, 6}
Step-by-step explanation:
The domain is the list of first-values of the ordered pairs:
{x | x = –5, –3, 1, 2, 6}
Answer:
40 degrees
Step-by-step explanation:
We know the entire angle of ABD is 70 and CBD and ABC are in it.
Since we know one of them (CBD) is 30, we can subtract 30 from 70 to find ABC. This is because the angle of ABC and CBD equal ABD.
30 + x = 70
-30 from both sides
x = 40
