2 Let f(x) = 3x² + 3x + 4 and let g(h) Determine each of the following: (a) g(1) (b) g(0.1) = (c) g(0.01) = = = ƒ(1 + h) − ƒ(1) - h

Q: Let f(x) = 1- 8x + 4x². Calculate the following values: f(a)= 4a²-8a+1 f(a+h) = 4a²+ Sah+ 4h²-8a-8h…

A: To find the value of difference quotient.

Q: Let f(x) = –2x + 4 and g(æ) = –6æ – 7. Find f(x) – g(x).

A:

Q: 7x 9. For the given functions, f and g, find (fog)(x) : f(x) = 7x²+4; g(x)=3x+2

A: To find the composite function

Q: Find (fo g)1; if f(x)= x+4 and g(x)= 2x -5.

A:

Q: Next For f(x) = x- 3 and g(x) = 5x2 - 3, find the following functions. a. (fo g)(x); b. (go f)(x);…

A:

Q: Define f (x) = 4+x – x² and g(x) = 5x 3. - Find the value of (go f)(3). o f)(3).

A:

Q: Consider the function P(x) = x3 – 16+ 8x +10x².

A: Rearrange the P(x)

Q: Find f(7) if f(x) = 5x – 1.

A:

Q: Find f−1(x) for f(x)=11+12x.

A:

Q: Let f(x) -x² + x. Let g(x) = 6x - 4. Find the following: (a) f(5) + g(5) = 56 (b) f(6) g(6) = 1344…

A: The given functions are f(x)=-x2+x,g(x)=6x-4 We have to find the a) f(5)+g(5)b) f(6).g(6)c)…

Q: Calculate the following values:

A:

Q: Consider the series a. The series has the form n+1 n n+1 an where an b. The first five terms in the…

A: The given series is ∑n=1∞1n-1n+1. (a) To Find: an for the above series. (b) To Find: First five…