f f(x)=x^2+10, find and simplify the following: a.) 2f(t) b.) (f(t))^2+8

Q: Simplify : [√(x + h) - √x) / h

A:

Q: Let f(x) = x² – 2r and g(x) = x + 3. Find each of the following: a. (f + g)(5) b. (f - g)(x) and (f…

A: The given functions are, fx=x2-2xgx=x+3 a. Fiding the function f+g5…

Q: If (fg)(x) = 3x? – 22x + 39, find f and g.

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Q: f(x) = 13x + 4 a.) f(-3) b.) f(4)

A: topic - functions

Q: Q2/ Find ft) for cach of the following functions 768 a- F(s) = %3D (s2 +8s+15)2

A: Since you have asked more than one question, we will solve first one for you. If you want other…

Q: For f(x) = 4x - 5 and g(x) = 2x - 5, find the following functions. a. (fo g)(x): b. (g o f)(x); e.…

A: Given : f(x)=4x-5 , g(x)=2x2-5 we have to write the followings (1) (f∘g)(x)(2) (g∘f)(x)(3)…

Q: Let f(x) = 3x² + 4x – 1 and g(x) = 2x + 7. Find each of the following: a. (f + g)(x) b. (f + g)(4).

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Q: If f(x)= x² and g(x)= 2x + 1, which expression is equivalent to (f o g)(x)? A 2x + 1 © 4x2 + 1 2(x +…

A: Here f(x)=x2g(x)=2x+1

Q: Given f(x) = x² – 5x + 4, find and simplify each of the following: а. f(а + 3) b. f(a + h) – f(a).

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Q: 5 and g(X) = 3X the following functions. a. (fo g)(x); b. (g o f)(x); c. (fo g)(- 1); d. (go f)(- 1)

A: Given: fx=x-5 gx=3x2-1 a) f∘gx is given as, f∘gx=fgx               =f3x2-1               =3x2-1-5…

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: Simplify f(x-2)=√x+2 +8

A: We need to simplify the expression, f(x-2)=√x+2 +8 .

Q: For f(x) = 8x + 4 and g(x) = 5x, find the following composite functions and state the domain of…

A: Find the composition function.

Q: If f(x) = x³ + x4 + ax³ + 4x² – : 32x + b is divisible by x² – 36, find the values of a and b.

A: We will find out the required values.

Q: Use f(x) = 6x2 and g(x)= x -6 divided by 2 to evaluate the expression A. (f x g)(4)=…

A: Here given that , fx=6x2gx=x-62 Thus, the function f×gx is given by,…