Question

1. Let f be the function defined by f(x) = x

2 on the positive real numbers. Find the

equation of the line tangent to the graph of f at the point (3,
9).

2. Graph the reflection of the graph of f and the line tangent to
the graph of f at the point

(3, 9) about the line y = x.

I really need help on number 2!!!! It's urgent!

Answer #1

1). Consider the following function and point.
f(x) = x3 + x + 3; (−2,
−7)
(a) Find an equation of the tangent line to the graph of the
function at the given point.
y =
2) Consider the following function and point. See Example
10.
f(x) = (5x + 1)2; (0, 1)
(a) Find an equation of the tangent line to the graph of the
function at the given point.
y =

Find the equation of the tangent line to the graph of the
function f(x)=(x^2+8)(x−2) at the point (1,−9).
I thought it was re-writen as (2x^2 + 8)(x-2) then plugging in 1
for x and solving. I came up withit in slope form y = -20x - 1 but
says im wrong. What steps did i miss?

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