For the given functions f(x)=x² and g(x)=x+4, find (a) (fog)(x), (b) (gof)(x), (c) (f • f)(x), (d) (g • g)(x (a) (fog)(x) = (Simplify your answer. Do not factor.) (b) (gof)(x) = (Simplify your answer. Do not factor.) (c) (f of)(x) = (Simplify your answer. Do not factor.) (d) (gog)(x) = (Simplify your answer. Do not factor.) ...

Q: If f (x) = 2x2 - 7 and g(x) = x2 + x - 1, find f (-2), f (3), g(-4), and g(5).

A: A function is a relation between a set of two variables, one dependent variable and an independent…

Q: Find f(3x) if f(x) = 7- 4x2. f(3x) = (Simplify your answer.)

A: The solution is:

Q: finde the difference quotient of f(x)= x2-2x-3 in simplest form

A: Known fact:The difference quotient is computed using the formula is m=( f(x+h) - f(x))/h.

Q: If f(x) = 3x² + 6x – 5, find the following: (a) f(5) = (b) F(-1) = | (c) f(-6) =

A: Given               f(x)=3x2+6x-5we have to find  f(5)    replace x by 5 in f(x) f(-1) replace x by…

Q: f(x)=2ex-x2

A: fx=2ex-x2

Q: If g(x)=2x+1 and f∘g =6x-7, determine an expression for f(x)

A:

Q: For the functions f(x)=4x+5 and g(x)=6x+4, find (f∘g)(0) and (g∘f)(0)

A: f(x) = 4x+5 i.e. when x is input then f(x) 4 times x plus 5. g(x) = 6x+4 i.e. when x is input then…

Q: Find f(3) if f(x) = - 4x2 + 5x.

A: A function relates inputs to outputs. An expression is said to be a function if for each input…

Q: If f(x) = 2x – 6 and g(x) = x – 2x2, find each value. f(2)

A: Given functions are: fx=2x-6 and, gx=x-2x2 We have to find the value of f2.

Q: When f(x) = 2x2+ 2x-4, evaluate f(-2) f( – 2) =

A:

Q: determine f(0), f(-2), and f(a+b) f(x)= 5x-10

A:

Q: If h(x) = -3(9x + 13) and h(x) = 15, find x.

A: given h(x) =15 than the equation become 15=-3(9x+13) 15=-27x-39 27x=-39-15 27x=-54

Q: Find f(-7) if (x)=2x+8

A: Given  f(x)= 2x+8  we use substitution method to find value of f(x) at x= -7

Q: For the functions f(x)=−5x3−4x2+8x and g(x)=−4x2+8, find (f−g)(x) and (f−g)(−2)

A: Given, fx=-5x3-4x2+8xgx=-4x2+8