Math AA SL: Limits

#MAASL00169

[Maximum Mark: 6]

let f(x)=x and g(x)=4x+b

a) Find g(f(x))

b) \lim_{x\to\infty} g(f(x))=2
Detailed Answer/Video Explanations Answer

#MAASL00175

[Maximum Mark: 7]

f(x) = bx^{5}. The point P (1,b) lies exactly on the curve of f. At P, the normal 
of the curve is parallel to y= \frac {2}{5} x. Find b.
Detailed Answer/Video Explanations Answer
#MAASL00176

[Maximum Mark: 6]

Let f(x) = 34 + e^{-x} and g(x) = 12x + r, for all x \in \mathbb{R}, where r is a constant.

a) Find (g \circ f)(x)

b) \lim_{x \rightarrow \infty} (g \circ f)(x) = -12.Find r
Detailed Answer/Video Explanations Answer

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