Find a function f and a number a such that f(t) [ * t6 f(x) = 0 a 2+ a x - dt = 4x -2

Q: Find the domain of the following function 1 f (x) = 2 + f (x) Vx

A: Given function,                            f(x)=12+x

Q: Let f(x) = m1x + a and g(x) = m2x + b, where m1, m2, a, and b are constants. Determine the necessary…

A: f∘g=g∘ffgx=gfxfm2x+b=gm1x+am1m2x+b+a=m2m1x+a+bm1m2x+m1b+a=m1m2x+m2a+bm1b-b=m2a-abm1-1=am2-1

Q: Show that an = 1/2n + 1 is decreasing.

A: Given: an=12n+1 Substitute 1 for n in the equation an=12n+1. a1=12(1)+1=13=0.333

Q: Let f(x)=Ax³ + 2x2-16x +4. Find the value of A such that f(x) has a point of inflection when x =…

A: A function,

Q: Let f(x) = 2x2 - 1 and g(x)= 1 + x². Find (f o f)(x). O x* +2x² +2 4 O 4x4 – 4x2 + 2 | 4 O 2x* + 4x²…

A:

Q: Let fx) - 2x-5 and let g(x)= 4x +1. Find the given value. flg(- 2) flg(- 2)] = (Type an integer or a…

A:

Q: Let f(x) = 2x – 11 + 3(x + 2). Find all values of x for which f(x) is at most 0.

A: Solution: Consider the given function is: f(x) = 2x - 11 + 3(x+2) Simplifying the above we have f(x)…

Q: The function x2 f(x) = 1 - x is decreasing on (0, 1). Select one: O True O False

A:

Q: '(x) = ( 13 + x1, (x-1)², x x

A: T(x)=|3+x|x<-1(x-1)2x≥-1

Q: Let f(x) = 1 - (x + 3) + 2x. Find all values of x for which f(x) is at least 4.

A: Given that, fx=1-x+3+2x Need to evaluate the values of x for which f(x) at least 4 that is fx≥4

Q: Determine F(x) if, for all real x and y, F(x)F(y) – F(xy) = x + y.   Hint:  What could F(1) be?

A: Consider the provided question, We have to find F(x).

Q: Let f(x) f-¹(-2) = x + 3 x + 6

A:

Q: Graph the piecewise linear function. 2, x ≥ 1 4) f(x) = x + 5, x < 1

A:

Q: 1. Let f(r) and g(a) 4x + 1. 4 Then (f o g)(6) (ƒ o g)(x)

A: We have to find function

Q: what should n be if f(x) = Xn defineof a polynomial function?

A:

Q: 2 Let f(x)= 3x - 4 and let g(x) = 2x + 1. Find the given value. fig(3)] f[g(3)] = (Type an integer…

A:

Q: S2x+1, x54 x² +12, x>4 3. Is the function f(x) = continuous?

A: topic - continuity of a function

Q: 1 Let f(x) and g(x) = 4x + 5. - 4 | Then (f o g)(6) (f o g)(x) =

A: The solution is given below :

Q: f(x + h) – f(x) Find and simplify the difference quotient 2,h±0 for the given function. h f(x) = 2x²…

A: