F-1(x) = 8x - 24
You can get this by switching the x and f(x) and then solving for f(x)
f(x) = 3 + 1/8x ---> now switch them
x = 3 + 1/8f(x) ---> now subtract 3 from both sides
x - 3 = 1/8f(x) ---> now multiply both sides by 8
8x - 24 = f(x) ----> ANSWER
Answer:
see explanation
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y-intercept )
(a)
here m = -
and c = 6, hence
y = -
x + 6 ← equation of line
(b)
here m = 6, hence
y = 6x + c ← is the partial equation
to find c substitute (2, - 6 ) into the partial equation
- 6 = 12 + c ⇒ c = - 6 - 12 = - 18
y = 6x - 18 ← equation of line
(c)
to calculate m use the gradient formula
m = ( y₂ - y₁ ) / ( x₂ - x₁ )
with (x₁, y₁ ) = (- 1, 3) and (x₂, y₂ ) = (4, 7)
m =
=
, hence
y =
x + c ← is the partial equation
to find c substitute either of the 2 points into the partial equation
using (- 1, 3 ), then
3 = -
+ c → c = 3 +
= 
y =
x +
← equation of line
It is 10 more in the thousands than the hundreds... multiply 100 x 10...