3 let (6x)=x-2₁ g(x) = ³√x₁ hG) = x4 j(x) = 4x Express each of the function gover below as a composite Envolu no or more of f, gib an atyre 3 6) 4 = 4³√x ya c) y = x ¹/² d) y = 16x s

Q: 4x² + 21x + 54 dx x² + 6x + 13

A: The given integral is  (4x2+21x+54)/(x2+6x+13).

Q: Let f(x)=9x+8‾‾‾‾‾‾√f(x)=9x+8 and g(x)=x+9g(x)=x+9 be functions from ℝR to ℝR. Find the following.…

A: We will find out the required values.

Q: Let f(x) = -3x√x + f'(x) = -8 35 -4 4 -18x³√x - ³x³√x + 24x¯4√x - NIG F X X

A:

Q: Compute and completely simplify the difference quotient for  f(x) = √x+6   f(x + h) − f(x) h =

A:

Q: Domain and hange. Find the domain and range of the function. 5x² + 4 for 0 4 x 42 L

A:

Q: The functionf is one-to-one. Find its inverse. 5 18) f(x) - 4x +3 18) A) x) =5-3x B) flx) = 4x 3x -…

A: We have to find inverse

Q: 3) Find domain of the following functions x+4 a) f (x) = x²+2x-8

A: Given function is: fx=x+4x2+2x-8 We have to find the domain of f(x).

Q: Horizontal asymetote6) Domainoin Interual notalion!

A:

Q: Use the functions given by f(x) = 53√x - 1 O 1253√x - 1 53√√x + 1 O 1253√√x + 1 05√√x + 1 ○ 1 125 x…

A: given  f(x)=1125x-1given  g(x)=x3

Q: Show that: fdx = f(x), where f(x) = x³ x³ + 3x +3

A: Introduction Differentiate is utilized to investigate the little variation of one variable in…

Q: = x? – 5x + 7 has roots a and B. Use symmetric Suppose that f(x) functions to find a + B, aß, a² +…

A: If we have a quadratic equation ax2+bx+c=0 and α and β are the roots then: α+β=-ba αβ=ca We can use…

Q: Use the function f(x) = 5x – 6 to compute and expand and simplify the following. a. f(-) = b. f(-6a)…

A:

Q: Find the derivative of the function g(x) = g'(x)= = e² 4 - 2x

A:

Q: 3) Find domain of the following functions х+4 a) f (x) = х2+2х-8

A:

Q: 8. Describe the domain for h(x) = √70-9x - x²

A: To describe the domain for .

Q: Let f(x)=x−3x−−√3f(x)=x−3x3 Can you please show me how to find what values are concave up or down?

A:

Q: Which rule is faster to use to differentiate f (2)=(22) (*) ? Use the Product Rule O Simplify to 3…

A:

Q: What is the domain of the radical function f(x)=√2x²-5x-12? D: (-∞0, ∞0) D: [-1.5, 4] D: [-1.5, ⁰⁰)…

A: The function is given byTo determine: The domain of the the function.Domain Restrictions for Square…

Q: f(x)=4x' +2x°+lx² -9x° +7x +6

A:

Q: Rewrite each pair of functions. (g) and g(t), as one composite function, f(g(e)). (If not possible,…

A: To find f(g(t))

Q: For each of the following functions i) f(x) = -2 x²(x² − 9), ii) g(x) = (x + 2)(x − 3)(x² − 4). a)…

A: Given function, fx=-2x2x2-9 To sketch the graph of the function, should use the some important key…

Q: Find a,b to continue the function at x=3 if: x > 3) x = 3 x < f(x) = ax + b 2ab + 1 bx - a +3 3)

A:

Q: The inflection point of the function f(x) = x³ – x² + 5x +1 is: 70 (3, 27 70 (-3,–) 27 (-3 70 (-3,…

A: Given function is fx=x3-x2+5x+1

Q: Let f(x) = 3+ √5-8. Find f f(₂)=[

A: