Given the function f(x) = 5x - 3(3x+7), Determine the value of x when f(x) =-18.

Step-by-step explanation:

Simplifying

f(x) = 5x + -3(3x + 7)

Multiply f * x

fx = 5x + -3(3x + 7)

Reorder the terms:

fx = 5x + -3(7 + 3x)

fx = 5x + (7 * -3 + 3x * -3)

fx = 5x + (-21 + -9x)

Reorder the terms:

fx = -21 + 5x + -9x

Combine like terms: 5x + -9x = -4x

fx = -21 + -4x

Solving

fx = -21 + -4x

Solving for variable 'f'.

Move all terms containing f to the left, all other terms to the right.

Divide each side by 'x'.

f = -21x-1 + -4

Simplifying

f = -21x-1 + -4

Reorder the terms:

f = -4 + -21x-1

step-by-step explanation:

f(x)=2x^2 -1 

translation is a function transformation that transform the function in a way of translating. by translating the function its graph is moved  up an down. moving the function f(x) 2 units to the left will be the new function g(x) with the equation: g(x)=f(x+2)=2(x+2)^2 -1