Let f(x) = x^2 −nx+5 and g(x) = mx^2 +x−3. The functions are combined to form a new function h(x) = f (x) + g(x). Points (1, 3) and (−2, 18) belong to the new function. (a) Find the values of m and n (b) Hence, find the new function k(x) = f(x) × g(x) in standard form.

Q: If F(y) = y(y - 3)²; find F(x + 3). x^2 (x+2) Ox (x+3) Ox^2 (x+3) Ox(x+2)

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Q: Show that the function f(x) = 2(x^3)-4(x^2)+5x-4 has a zero between x = 1 and x = 2.

A: Please refer to the image below

Q: Let f(x) = 5x^3 + x + 1. If f(2) = 43, then (x − 2) is a factor of f(x).

A: f(x) =5x3+x+1

Q: Use the functions f(x) = 2x^2+1 and g(x) = 3x+5 to evaluate the composite function. f(g(2))

A: g(x) = 3x + 5 So, g(2) = 3×2 + 5 = 11

Q: f (x) = x2 - 7x + 10/x - 5, x = 5

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Q: Let g(x) = x^2 - 3 and h(x) = 2x + 5. Find h(g(x)).

A: topic - composite functions

Q: Rewrite the function f (x) = 2(x-1)-1 in the form f (x) = ax²+bx+c. f(x) = 0 %3D

A: The given function is, fx=2x-12-1 The general form is, fx=ax2+bx+c

Q: If f(x) =x^2 +x+1 and g(x)= x-5, find the following. g•f

A: The functions are given by f(x) = x2+x+1 and g(x) = x-5 To evaluate : The expression for g∘f

Q: let f(g(x)) = 8(9 + 3/x^4+2)^7. Find the following functions.  if f(x) = 8x^7 then what is g(x)?…

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Q: Create a table for the function g(x)=(3)/(4)f(x)

A: Given that g(x)=34f(x) Here we need to create the function table.   For that, We need to take values…

Q: Find f-1(x) f(x)=x2ln9x

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Q: f(x) = x4 + x? In order to check even, odd, neither, I need to check to see what f( – x) simplifies…

A: If we have to check either a given function f(x) is odd or even we replace x in the function by (-x)…

Q: Define the functions (x) =x² + 2x - 3 and g(x) =Vr + 6 а. Find the value of b. Find the value of…

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