Evaluate the expression using the values given in the (g of)(1) 1| 5 | 11 | 12 1 15 f(x) -2 11 -5 -2 1 8(x) 1-5 5 11 -5 -2 11

Q: Use f(x) = 3x – 2 and g(x) = 5 – x² to evaluate the expression. (a) (fo )(x) Зх — 2 (b) (g o g)(x) 5…

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Q: Use f(x) = 5x - 3 and g(x) = 4 – x2 to evaluate the express (a) f(F(2)) 5 (b) g(g(3))

A: Given: f(x)=5x-3 and g(x)=4-x2 To find (a)f(f(2)) (b)g(g(3))

Q: Use f(x) = 5x - 3 and g(x) = 2 - x2 to evaluate the expression. (a) (fo g)(x) (b) (g o f)(x)

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Q: Given that f(x)=x^2-4 and g(x)=5x+15, find the (g-f)(f) if it exists.  (g-f)(5)=

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Q: Use f(x) = 2x - 3 and g(x) = 4 - x2 to evaluate the expression. (a) (f ∘ g)(-2)    (b) (g ∘ f)(-2)

A: f(x) = 2x - 3 and g(x) = 4 - x2

Q: Use f(x) = 5x – 3 and g(x) = 4 – x2 to evaluate the expression. (a) (fo n(-1) (b) (g o g)(-1)

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Q: Use f(x) = 5x – 4 and g(x) = 2 – x2 to evaluate the expression. (a) (f. A(-1) (b) (g . g)(-1)

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Q: Use f(x) = 4x - 5 and g(x) = 3 -x to evaluate the expression. (=) (fo g)(x) (b) (Go f(x)

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Q: Evaluate the expression. (g · f)(-12) when f(x) = x- and g(x) = 4x + 3. %3D %3D O -35 O -17 O 225

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Q: 1. Given f(x) 3x-7 and g(x) = 4x + 10, evaluate the following: a. f(3) b. g(-2) f(x*) d. g(2x) C.

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Q: Find g'(9) given that f(9)= -8, f'(9)= -2, and g(x)= (6x+1)/f(x). g'(9)=?

A: The detailed solution is as follows below:

Q: + 1) =-2fn what

A: Function: f(1)=160   f(n + 1) =-2f(n) If we put n=1 f(1+1)=-2f(1) f(2)=-2.160 f(2)=-320

Q: Simplify the expression 2x2 + 9x + 4 x2 + 5x + 4 2x2 – 3x + 1 x2 + 3x – 4 and give your answer in…

A: 2x2+9x+4x2+3x-4÷x2+5x+42x2-3x+1=2x2+9x+4x2+3x-4*2x2-3x+1x2+5x+4....(1) now…

Q: Given f(x) = -5 - 2x What is f(6)

A: We have given f(x) =-5-2x. We have to find the value of f(6).  For this we can replace x by 6 in…

Q: Let ​f(x)=6x−2​, ​g(x)=x2+2​, and ​h(x)=x+26. Evaluate the expression ​(f◦g◦​h)(4​).

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Q: 12.Given f(x)=xr², find and simplify an expression for: -2f(x-1)– 3

A: Since you have posted multiple question in this question which are not interlinked so i have solved…

Q: Use f(x) = 2x - 3 and g(x) = 4 - x2 to evaluate the expression. (a) f(g(0))    (b) g(f(0))

A: The composition functions involve the operations on two or more functions and specially the case…

Q: given that f(x)=2x2-15x, find all values of x such that f(x)=-7

A: Given function is: fx=2x2-15x. For fx=-7 implies that 2x2-15x=-7 Now, solve this equation to get the…

Q: Use f(x) = 3x - 4 and g(x) = 2 - x2 to evaluate the expression. (a) (f o f)(x) (b) (g o g)(x)

A: The objective is to fins the composition function. The given functions are : f(x)=3x-4 and…

Q: Use f(x)=4x-4 and g(x)=5-x^2 to evaluate the expression (g o f)(3)

A: We want to find the value of the composition of the given functions at the required Point.

Q: Use f(x) = 5x - 3 and g(x) = 2 - x2 to evaluate the expression. (a) (ro g)(x) (b) (g o n(x)

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Q: (x)=x^2+2x-8, and 3x-6 Preform the indicated operation. (Simplify as far as possible.) (f

A: We know if f and g are continuous function then we can write (f+g)(x)=f(x)+g(x) Here f(x)=2x+8…

Q: f(x) = (-3x³ + 4) 7, which of the following is f'(x)? f' (x) = 63x² (-3x° + 4)-8 - f' (x) = 63x(-3x…

A: Topic:- derivatives    Using  Derivatives of x^n = nx^(n-1)

Q: Suppose f(x)=(x−3)2 and g(x)=√x+7. Evaluate the following expressions. g(f(-12))= ?

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Q: / = 20. Evaluate f (a+ 2) for f(a) 3 4x-8'

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Q: Finf the following, given f(x)= 3x+2 and g(x) = x-5 a) domain of F= b) domain of g= c) domain of…

A: We will find the domain of f , g ,f+g ,f/g .

Q: Given that f(x)=x^2-8 and g(x)=4x+5, find (f-g)(-2) if it exists.  (f-g)(-2)=  simplify your…

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Q: Let f(x) Calculate and simplify the value: 7x – 6 - f(z)- f(8) x - 8 All liked terms must be…

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Q: Let k(x)=f(x)g(x)/h(x). If f(x)=−4x+3,g(x)=2x+2, and h(x)=−3x^2−4x+4, what is k′(x)? Simplify your…

A: We have to find the derivative of function k(x).

Q: Use f(x) = 3x - 4 and g(x) = 2 - x2 to evaluate the expression. (a) (f o f)(x) (9х — 12) - (b) (g o…

A: Recall:      Composite function:                  Let f and g be the two functions. Then,…

Q: Use f(x) = 2x – 3 and g(x) = 5 – x² to evaluate the expression. (a) (f . g)(-2) (b) (g . f)(-2)

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Q: Find g'(8) given that f(8)=-5,f'(8)=9, and g(x)=7x+1/f(x).

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Q: Use f(x)= 4x –4 and g(x)= 5-x² to evaluate the expression (g of (gof)(3) =

A: Given

Q: Use  f(x) = 2x − 3  and  g(x) = 5 − x2  to evaluate the expression. (a)     (f ∘ g)(−2)

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Q: Let f(x) = x - 4 and g(x) = 8x. Find |(x). |(x) =| (Simplify your answer. Use integers or fractions…

A: Given that f(x)=x^2-4 g(x)=8x To find (f/g)(x)

Q: 4. Use f(x)= 3x– 4 and g(x)= 5-x² to evaluate the expressions in simplified form: | a. (f°g)(x)

A: a) The given function is  f(x) = 3x-4 g(x) = 5-x2 (f0g)(x) = f(g(x))             = f(5-x2)…

Q: Use f(x) 2x - 4 and g(x) = 5 - x2 to evaluate the expression (a) (fo (x) (b) (g o g)(x)

A: Given f(x) and g(x)

Q: f 3x - 4 > 8, then x > 4

A: answer of given question is in step 2

Q: Use f(x) = 4x - 5 and g(x) = 4 - 2 to evaluate the expression. (a) f(g(0)) (Ь) g(f(0))

A: Given : f ( x ) = 4x - 5 and g ( x ) = 4 - x2 Find :  ( a)      f ( g (0)) b ).  g ( f ( 0) )

Q: Use the values shown in the following table to evaluate the expression. 7x - 5) - 1 when x = 11 f(x)…

A: = 7f(1/6(x-5))-1 Now putting the value of x equal to 11 We get, = 7f(1/6(6))-1 = 7f(1)-1 Now looking…

Q: Use f(x) = 3x-4 and g(x)=5-2x² to evaluate the expressions in simplified form: a. (fog(x) b. (g•x)

A: Given functions: fx=3x-4gx=5-2x2

Q: 7) Determine algebraically whether f(x) = 2x³ – 7x2 is even, odd, or neither. %3|

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Q: Given f(x) = 4x° + 9x* - 8x - 5, how many sign changes are there in the coefficients of f(- x)?

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Q: f (x) = x2 - 1 g(x) = x - 5 Which expression represents f(g(x))? O A x2 -5x + 24 O B x2 - 5x + 25 x2…

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Q: Use the values shown in the following table to evaluate the expression. 2f(2x) when x = -2 f(x) f(x)…

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Q: Given that f(x) = -2x + 1, what is f(5)? O -11 -9 -2

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Q: Evaluate the difference quotient and simplify the result. 1 f(x) x + 8 f(x + Ax) – f(x) Ax

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Q: Given f(x)=3x2-4 and g(x)-2x-6, what is f(g(2))? O 10 -2 O 6

A: Solve function as general

Q: Use f(x) = 3x - 5 and g(x) = 4 - x2 to evaluate the expression. (a) f(f(2)) (b) g(g(3))

A: Given functions f(x)=3x-5      and g(x)=4-x2

Percentage

A percentage is a number indicated as a fraction of 100. It is a dimensionless number often expressed using the symbol %.

Algebraic Expressions

In mathematics, an algebraic expression consists of constant(s), variable(s), and mathematical operators. It is made up of terms.

Numbers

Numbers are some measures used for counting. They can be compared one with another to know its position in the number line and determine which one is greater or lesser than the other.

Subtraction

Before we begin to understand the subtraction of algebraic expressions, we need to list out a few things that form the basis of algebra.

Addition

Before we begin to understand the addition of algebraic expressions, we need to list out a few things that form the basis of algebra.