Determine whether the given statement is true or false. If the statement is false, make the necessary change(s) to produce a true statement : "If f(x) = √x and g(x) = 2x - 1, then (f ∘ g)(5) = g(2)."

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: Given f(x)=2x+5, find f(1).

A:

Q: Given f(x) = 5x -1 and g(x) = 3x +13, find the value of (f-g)(x). %3D a. 2x-12 b. 2x + 12 c. 2x + 14…

A: We have to find function value

Q: Determine whether the statement is true or false. If it is false, explain why or give an example…

A:

Q: Find the Values of X for which f(x)=g(x0). f(x)=x2+2x+1, g(x)=17x-15

A:

Q: If f(x) =Vx- 4x + 19, then what is f(1)?

A: We first find f'(x) using the power rule and chain rule.

Q: It f(x) = x² - 4x - 3, find f (x + 3). 10. If g(x) = 2x³ + 4x − 5, find g(x − m)

A: 9) The given function is: f(x)=x2-4x-3

Q: Given that f(x) = 7x – 9 and g(x) = 4 – x², calculate - (a) f(g(0))= (b) g(f(0))=

A: Given,          fx=7x-9 and gx=4-x2.

Q: Define f(x) = 6x + 7. If it is known that f(c) = -2, find the value of c.

A:

Q: if f(x)=x^2+2+g(x)=2x+3, what is (fg) (x) ?

A: topic - functions

Q: Find the values of x for which f(x) = g(x), where f(x) = x2 + 6x − 24 and g(x) = 4x − x2.

A:

Q: Given that f(x) = 3x2 + 1 and g(x) = 5x -2, find a. f(g(2)) b. f-1(x)

A: Given function is : fx=3x2+1 and gx=5x-2 (a) To find the value of fg2 gx=5x-2 Replace x by 2 in g(x)…

Q: If f(x) =Vx³ - 6x + 12, then f'(2) = %3D

A: Given function is Differentiating with respect to x by using chain rule of differentiation, we get

Q: Let f(x) = cx2.83. By what factor must x be increased in order to quadruple the value of f?

A:

Q: Find the zeros of the function f(x) = 3x + 18 algebraically.

A: Given;            fx=3x+18 Solve for x:          3x+18=0

Q: Evaluate the function g(x) = 3x2 - 5x + 2 at the given values of the independent variable and…

A: The given function is gx=3x2-5x+2.

Q: If f(x) = x2 - 2x + 3, find the value(s) of x so that f(x) = 11.

A:

Q: Given that f(x) = x² – 3x - 18 and g(x) = x – 6, find f(æ) + g(x) and express the result in standard…

A:

Q: If f(x) = 21x + 21, find f'(3).

A: f (x)=21x+21 f'(x) = 21

Q: The function f (x) = x3-x . is: х2-1 %D

A:

Q: Given that f(x) = 3 – 2x and g(æ) = x² + 5x, calculate (a) Evaluate f(– 3). (b) Find and simplify…

A: topic- functions

Q: Given that f (x) = 3x² + 1, find (x+h)-f(x) h

A:

Q: Given f(x) = -2x - 12, find x when f(x) = 20. %3D %3D

A: Given f(x) = -2x-12 ...(1) To find x when f(x) = 20 ...(2)

Q: If f(x) = (x² + 3x + 7)´ 7), i then f'(x) =

A: Since, it is given that f(x)=(x2+3x+7)2 -(i) Our Aim is to find f'(x)=? and f'(4)=?

Q: Given that f(x) = 3x+4 and g(x) = x, find (fo g)(-2). (fo g)(-2) =

A: given f (x) =3x + 4  g (x)= x3 we find (fog) (-2)

Q: a) If f (x) = 12x, find f' (27). %3D

A: Solve the function

Q: (a) f(x) = xª – 2x² + 3

A: " Since you have asked multiple question, we will solve first question for you. If you want any…

Q: If f(x) = (2x – 5)(3x + 5), then - a. f(1) = b. f'(1) = %3D

A: Solution -  Given function is as -  f(x) = (2x-5)(3x+5)we can expand it further - f(x) =…

Q: Given that f(x)= 8x + 3 and g(x) – 7-x, calculate (a) f(g(0))- | (b) g(f(0))=

A: Given ,  f(x) = 8x + 3 g(x) = 7 - x2 (a)  We have to find f(g(0)) Since ,  f(g(x)) = 8 g(x) + 3  = 8…

Q: If f(x) 2x- 1 and g(x) x2 - 1, find the value of (fo g)(3). %3D

A:

Q: If f (x) = x² – 15 and g(æ) = 2x + 4, what is g[f-1'(10)]?

A: GIVEN h(x)=bx2+20  AND h(5)=120  substituting the value of x=5 in h(x) we have  h(5)=b(25)+20…

Q: Given f(x) = |2x – 1|, find f(-3).

A:

Q: Given that f(x) 7x +7 and g(x) = 3 – x², calculate (a) f(g(0))= (b) g(f(0))=

A:

Q: Given that f(x) = 4x+9 and g(x)=x°, find (fo g)(-5). (fo gX-5)-

A:

Q: If f(x) = 3x – 2, find f(a + 4).

A: Given : fx = 3x-2

Q: 2x² – 4e*, find: If f(x) = 2x²

A:

Q: Given that f(x) = x2 – 15x + 54 and g(x) = x – 6, find f(x)· g(x) and express the result in standard…

A:

Q: The domain of f(x,y) = /36 – x² – y² is

A: Given: The function in two variables, fx, y=36-x2-y2.

Q: find the value of (a) if the equation: f(x)=x2 – 2ax+9 has one root: -

A: The given equation is fx=x2-2ax+9. It is given that the equation has only one root. It is known that…

Q: Given that f(x) = 9x 8 and g(x) = 8 - x2, calculate - (a) f(g(0))= (b) g(f(0))=

A:

Q: Given that f(x) = 6x +5 and g(x)= x°, find (fo g)(- 2).

A:

Q: For  f(x) = square root 7x  and  g(x) = x2,  find the following. (a)    (f + g)(x) (b)    (f −…

A: Part A- Given : Given functions are fx=7x , gx=x2 Calculation: f+gx=fx+gx⇒(f+g)(x)=7x+x2 Answer:…

Q: Given that f(x) = x2 + 8x and g(x) = x+ 7, calculate

A: Given functions - f(x) = x2+8xg(x) = x+7f∘g(x)=f(g(x))

Q: If f(x) = 4x? – 3x +2 find f(-1)

A:

Q: Given that f(x) = 4x – 9 and g(x) = 1 – x², calculate - (a) f(g(0)) = (b) g(f(0)) =

A:

Q: 2. Given f(x) = 2x² + 3x – 5 and g(x) = 4x + 7, find and simplify: a) f -g b)g¬'(f(x))

A:

Q: F(x)=2x+9,If f(x)=-27 what is x?

A: Given function: F(x)=2x+9 The objective is to find the value of "x".

Q: If f(x) = (a² + 3x + 4)°, f'(x) = then f'(3) =

A:

Domain

In simple mathematics terms, a domain is defined as the space on which all the possible inputs for the function will lie. It can also be expressed as a set of departures for the required function.