Answer:
see explanation
Step-by-step explanation:
(a)
Substitute x = - 1 into f(x)
f(- 1) = 6 - 2(- 1) = 6 + 2 = 8
(b)
Substitute x = into g(x)
g( ) = = 9 × 3 = 27
(c)
Substitute x = f(x) into h(x)
h(6 - 2x)
= 6 + (6 - 2x)² ← expand using FOIL
= 6 + 36 - 24x + 4x² ← collect like terms
= 4x² - 24x + 42
(d)
Substitute x = f(x) into g(x)
g(6 - 2x)
=
(e)
Evaluate g(12) then substitute value obtained into f(x)
g(12) = = , then
f( ) = 6 - (2 × ) = 6 - =
(f)
Evaluate f(- 9) then substitute the value obtained into h(x)
f(- 9) = 6 - 2(- 9) = 6 + 18 = 24 , then
h(24) = 6 + 24² = 6 + 576 = 582
Answer:
fourth option... ...dmdmdjxn
Answer:
The answer is B
Step-by-step explanation:
Answers talk about rate of change meaning slope.
For function 1 we choose two points, they specify [1,2].
Use the slope formula for points (1,-3) & (2,3) = 6
For function 2, the equation is shown in y-intercept, basically the slope is (1/4)^x and if you replace x with [1,2] you get really low values.
For function 3 is easy since you can count the units with rise/run giving and slope of 2 or 2/1. <em>(2 and 2/1 is the same thing)</em>
Answer:
s - 8
Step-by-step explanation:
TO find the function rule, substitute (s-2) in place of v. Then simplify.
h(v) = v - 6
h(s - 2) = (s - 2) - 6
h(s - 2) = s - 8
The last one : y - 5 = (x - 6)
the equation of a line in point- slope form is
y - b = m(x - a )
where m is the slope and (a, b ) a point on the line
to calculate m use the gradient formula
m = ( y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = A(- 2, - 1 ) and (x₂, y₂ ) = (B(6, 5 )
m = = =
using (a, b ) = (6, 5 ), then
y - 5 = (x - 6 ) ← in point- slope form