Answer:
g(x) =
Step-by-step explanation:
From the picture attached,
Given function is,
f(x) = x + 1
We have to find the value of g(x) if the composite function has been given as,
f[g(x)] = g(x) + 1 =
g(x) =
=
=
Therefore, g(x) = will be the answer.
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 ) = (- 4, - 1) and (x₂, y₂) = (1 1/2, 2 )
m = =
=
using (a, b) = (- 4, - 1), then
y + 1 = (x + 4)
y = x + 3
The equation of a line in slope-intercept form is
y = mx + c ( m is the slope and c the y-intercept )
rearrange - 2x + 3y = 9 into this form
add 2x to both sides
3y = 2x + 9 ( divide all terms by 3 )
y = x + 3 ← in slope-intercept form