15. f(x) = 16. f(x) = 17. f(x) x 9 4 3 -x-4, g(x) = = 9 g(x) = 4x + 9 - x³ g(x) = 3/4x 4² 18. f(x) = x³ + 5, g(x) = 3√/x-5 2x + 8 3

Q: Find (go f)(x) if f(x) = 2x2 – 3x and g(x) = x + 2 O 2x2 + 5x + 2 O 2x2 + 5x + 8 O 2x? – 3x +2 O…

A: Given: fx=2x2-3x and gx=x+2 To find: gofx

Q: (2x)(x-y+5)(5y)

A: Firstly, we multiply 2x by each term of x-y+5

Q: x2 + 5 2. lim 9x4+2x+4

A: limx->∞x2+59x4+2x+4

Q: 9(x) = 2x + 3 (a) g(5) 6.

A:

Q: (P) xp- (e) fx dx (1) √(2x² - 6² xp(x9

A:

Q: k(x) = −x2 − 6x + 7 k(radical of 6)

A:

Q: Define f(x) = x2 + 2x-15 and g(x) = (√x+4)  (Note: x+4 all under square root) Give the value of…

A: We will find the value of (fg)(5) from the given information using the composition of functions.

Q: (e) 7 x² 3x2-6x x²-4x+4 (f) 1−4+1/2/2

A:

Q: f(x) equals square root of x - 5 and G(x) equals 2x + 7 find the following: a) (f -g) * x       B)…

A:

Q: x* (8) √**+/+ x2 dx =

A: To evaluate the given integral

Q: 5. f(x) = x - 16x + 64x? %3D Zero Multiplicity Effect

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: 2x2 + 8 dx. (i) | 3.x3 + 4.x2 – 4x Hint: Consider factorising the denominator first. dx (i) / Hint:…

A:

Q: In f (x) = -3x* + ax³ – 4x2 + 2x + 11, if f(3) = 40, What is a?

A:

Q: (x+2)(y-2)=(x-9)(y+5)

A: Open the bracket, we getxy - 2x + 2y -4 = xy +5x - 9y -45

Q: Find the difference quotient, 16. f(x) = 2x 17. g(x) = 3x-1 18. h(x) = 5x + 2 f(x+h) - f(x) h , and…

A: The objective of this question is to find the difference quotient for each of the given functions…

Q: The constant term of f(x)=x2+4x3+1 is 1. How can you say that 1 is the constant term?

A: fx=x2+4x3+1

Q: √4x²(x³-5)ª dx = Ox³(x¹² - 25x¹ +250x6 - 1250x³ +6250) + c 12 15 O 16(x³ - 5)4 + c ○(x³ - 5)5 + c…

A: To evaluate ∫4x2x3-54dx Formulae used d(xn)=nxn-1d(constant)=0∫xndx=xn+1n+1+c

Q: Suppose f(x)=√x² + 6x +10 and g(x) = −3x + 9. (fog)(x) = (fog)(-1) =

A:

Q: 22 f(x) (10 )(19 x)(13+2x)(7 2x)

A: Expand the given function as follows.

Q: If f(x) = ax + bx + c has zeros x = 15 and x = 6, what zeros does f(x + 1) have?

A:

Q: 3x² - 4x + 5 (b) (x - 1)(x² +1) dx e dx e²-1 (d) [2

A:

Q: Let f(x) = x2(squared) − 3x + 4 and g(x) = √x − 3. Find the following (a) f(0) (b) f(2) (c) g(12)

A: Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…