Given that f :x 2x+1 and g :x+3x-5 find the value of the following (a) gf(1) (b) gf(-2) (c) fg(0) (d) fg(7)

Q: Let f(x) = 3x + 4. and g(x) = -6x + 7. (If an answer is undefined, enter UNDEFINED.) (a) Find f(6) +…

A: From the given problem:   fx=3x+4gx=-6x+7   So,   f6=36+4=18+4=22   g6=-66+7=-36+7=-29   a)…

Q: Given that f(x) = (x-7)2 and g(x) = 7 - 4x, find: a) (f + g)(-3)- b) (f-g)(-3)- c) (fg)(-3)- d)…

A:

Q: If f(16x*- 16x³ + 4x²)dx = F(x) + C, then F(x) %3D

A: Formula:∫ xn  dx  = xn+1n+1 + C   Integral:I=∫ (16x4-16x3+4x2) dxI=∫ 16x4 dx -∫16x3 dx +∫ 4x2…

Q: 4 Evaluate :/ (9 – 2) dx if you know: - 3 f(x) = 9" – 2 - F(x) - 2x In(9) Round your answer to the…

A: Consider the given integration, ∫349x-2dx it is given that integral of fx=9x-2 is equal to the…

Q: Add the given functions (f+g)(x) f(×)=7×-8 and g(x)=-11×-3

A: Given that

Q: For f(x) = 4x-3 and g(x)=5x -4 find the folowing. a. (fog)(x) b. (gof)(x) c. (fog)(2) a. What is…

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

Q: for f(x)=2x+18 and g(x)=x2-4x-5, the value of g(f(-8) is: A. -9 B. 8 c. 135 d.55

A: Given that, the functions are fx=2x+18 and gx=x2-4x-5. Obtain the value of gfx.…

Q: For f(x)-6x-5 and g(x)=5x-2 find the following. a. (fog)(x) ь. (g of(x) c. (fog)(2) C.

A: Here I am attaching image so that you understand each and every step.

Q: If f(x) = 3x-1 +4 and g(x) = 4x-7, what is (f- g)(x)? %3D O A. (f-g)(x) = 3x-1 - 4x- 3 %D B.…

A:

Q: If f (x) = 2x + 6, g (a) = -9, find – 12 (f+g) (x) O 9x-12 -9(3x-1) -9(3x-4) O 9(3x+4)

A:

Q: f(x) = 5x + 2, g(x) = 3x - 4.Find: a. (f ∘ g)(x)   b. (g ∘ f)(x)   c. (f ∘ g)(2)   d. (g ∘ f)(2).

A: We have to find: a f∘gxb g∘fxc f∘g2d g∘f2 when, fx=5x+2gx=3x-4 We have to find composition of…

Q: 8. f(x) = x² + 3x – 4, find: (a) f(2), (b) f(-1), (c) f(a), (d) f(a + h). 9. f(x) = 4x² + 2x – 5,…

A: We have to solve question 9,10

Q: Which of the following expressions are polynomials? (a) 2x- x + V3 (b) x? -- 3Vx 1 (c) x + 4x + 7…

A: Which of the following expressions are polynomials? a) 2x3-12x+3The powers of the variables are 3, 1…

Q: If f(x)=x² - 6x + 5 and g(x)= - 4x, find the following compositio (gof)(-5) (gof)(-5) = (Simplify…

A: Solve the function

Q: or g(x) = x2 +5 x+ 3, find and simplify fully g(3+ h) - g(3) %3D a) g(3+ h) = b) g(3) = %3D (c)…

A: Topic = Functions

Q: If f(14)=27, find f-1(27)

A: If f(x) = y is any function and f is one-one then, => f-1(y)=x

Q: For x# 0, the expression can be written as (1) 1 (3) x (2) x2 (4) x

A: Given expression: x63x4 The term x63 can be written as x613. The term x4 can be written as x412

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

A: