Given that f(x) : 8x + 8 and g(x) = 3, calculate: %3D (a) f(g(7)) %3D (b) g(f( – 8)) %3D

Q: Given f(x) = 2x2 + 1 and g(x) = 6x - 8, find the followin %3D (a) f(g(2)) 33 (b) f(g(x)) (c) g(f(x))…

A:

Q: fx)--x +x2 + g(x)%3D4X 16x

A: using difinite integral , area of the shadid region is given by ,A= ∫04f(x)-g(x) dx

Q: Given that f(x) = 7x – 5 and g(æ) = 9 – a², calculate %3D (a) f(9(0))= (b) g(f(0))= Check Answer

A: Consider the given functions, fx=7x-5  and  gx=9-x2 (a) Find the composition function. fgx=fg(0)…

Q: Given that f(æ) = x² - 13x and g(x) = x + 14, find (a) f + g= (b) f-g= (c) fg%D %3D (d) %3D

A: Find (f + g)(x) and (f - g)(x).

Q: For f(x) = 7x-8 and g(x) = (x+ 8), find (f o g)(x) and (g o f)(x). Then determine whether (fo g)(x)…

A: f(x) = 7x-8g(x) = x+87for  f(g(x)) put g (n) in place of x i n f (n)∴ f (g(n)) = 7 x+87 - 8…

Q: Let f(r) = 4x + 2 and g(z) = 5a² + 5x. After simplifying, (fo g)(x) =

A:

Q: Use f(x) = 4x – 3 and g(x) = 3x2 + 2 to find gof %3D %3D

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

Q: (b) Write z = (3- 3i)+ in the form of x +iy.

A:

Q: For the function f(x) = 3 (e - 8) + 2, find f(x).

A: Given f(x) and inverse of f(x)

Q: 2x – 3 Зх + 1 If f(x) and g(x) find (g – f) (x). %3D X - 4 x - 3

A: Given functions: fx=2x-3x-4gx=3x+1x-3

Q: Given f(x) = 2x² + 1 and g(x) = 4x – 5, find the following. %3D (a) (g(2)) (b) f(g(x)) (c) g(f(x))…

A: Given: f(x) = 2x2 +1;   g(x) = 4x-5(a)…

Q: = 3x? – 4x + 1 and g(x) = x² – 5x – 1, find If f(x) (f – g)(x) and (f – g)(2). %3D

A: Given,  f(x) = 3x2 - 4x + 1 g(x) = x2 - 5x - 1 To find (f - g)(x) and (f - g)(2)

Q: If f(x) = 2x + 3x – 1, evaluate the following. %3D (a) f(a) (b) f(-a) (c) f(a + h) f(a + h) – f(a)…

A: Given, fx=2x2+3x-1 a) fa is found as follows: Substitute a for x in the given function.…

Q: Find the domain of the function:g(y) = √(y + 6)

A: Given gy=y+6

Q: If f(x) = Vr – 4 – 3x, find f(4), f(8), and f(13). %3D

A: f(x)=x-4-3x

Q: Determine g(x + a) - g(x) for the following function. 8(x) = -4x2 + 3x

A: topic - functions

Q: If f(x) = x? (g - f)(x) and (g – f)(-1). – 3x + 4 and g(x) = 2x - 5, find %3D

A: The given function is fx=x2-3x+4 and gx=2x-5

Q: Given the functions f (z) = 3x² – x,g (x) = ;4,h (x) = 9z, find go f (-1) %3D

A: I have given an answer in step 2.

Q: 2a+1 Find the inverse of f (x) x-3

A: A function is a relation which maps each value in its domain to exactly one value in its range. The…

Q: Given the function f(z) = 4x² + x – 5. Calculate the following values:

A:

Q: • The domain of f(x) = is 3-x %3D x2 -1

A: Given f(x)=(3-x)/(x^2-1) Domain of f(x) is the all possible value of x such that f(x) exist. Since…

Q: Given f(x)=x– 2x-8, g(x)=5x -1 and h(x): %3D

A:

Q: If f(x) = x² + 5 and g(x) = x – 4, evaluate the following %3D f(6) a. b. g(6)

A:

Q: Subtract the functions: f(x) - g(x) where f(x) = -3x + 6 and g(x) = 4x - 2 h(x) = f(x) – g(x) =…

A: Solution is given below...

Q: For f (x) = x² + 2x – 2, what value of g (x) gives (f– g) (3) = 11? O a) 2 O b) -11 O c) -2 d) 11

A:

Q: Given the function f, find f(-5), f(3), f(-a), -f(a), f(a + h). f(x) = 3|5x – 1| %3D f(-5) = f(3) =…

A:

Q: Given f(x) = x2 – 2x and g(x) = 3x² + x – 1, find f(x) – g(x).

A: Solution

Q: Find the domain of the function g(x) = %3D 5x2 + 4x - 1

A: g(x)=x5x2+4x-1 We need to find the domain of the function.