Given that f(x) = x² + 7x and g(x) = x + 5, calculate (a) fo g( – 2)= (b) go f( – 2)=

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: Let f(x) = x2 + 2 and g(x) = 2x - 3. Evaluate (fo g)(x). (fo g)(x) =| (Simplify your answer.)

A: (fog)(x)= f(g(x)) f(x) = x^2 + 2  g(x) = 2x - 3

Q: Given two functions f(x) = x² – 3x and g(x) : - = x + 13, find the following. a) f( – 2) + g( – 2)…

A:

Q: Let u(1) = (x(1), y(y), z(1)) be a curve in 3-space, i.e. a function u: R→ R³, and consider its…

A: Let ut=xt,yt,zt be a curve in 3d space and its derivative is dudt=dxdt,dydt,dzdt. Given that…

Q: If g(t) = -3t3 , evaluate g(4t).

A:

Q: Find (fo g)1; if f(x)= x+4 and g(x)= 2x -5.

A:

Q: Consider the function f(x) = 3x° + 2x – 1 and the equation f(x) = 0.

A: Given :-  Consider the function f  x = 3x5 + 2x -1 and the equation f  x  =0.

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

A:

Q: If f(x)=5ex, find f(3).

A: Given function:

Q: Calculate the following values:

A:

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: F(x) Vex-uz 81 -9X

A:

Q: Let f (x) = x² and g (x) = 2x - 4. Find the following: (a) f(3) + g (3) = (b) f(3) g (3) = (c) (d)…

A:

Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: