1,744 Answered Questions for the topic Functions

Functions Calculus Derivative

11/08/21

Find f′(x^2) if d/dx [f(x^2)] = x^8

Find f′(x^2) if d/dx [f(x^2)] = x^8

11/08/21

How to evaluate continuity of this function?

f(x) = {((e1/x )/(1+e1/x)) if x ≠ 0 {1 if x= 0Now I can either directly put x=0 in left and right hand limits after evaluatingf(0) = 1.In which case 1/x approaches infinity and function... more

11/08/21

need help with implicit differentiation

Here is the question:Find dy/dx using implicit differentiation.(3x^2+8y)/(4x+5y^2)=-22Here is the answer I got: (6*x^2 + 15*x*y^2 - 16*y)/(15*x^2*y - 16*x + 20*y^2)I know I need to First clear the... more

11/08/21

Find the local linear approximation L(x) of the function f(x)=x^2+3 at x=1 .

f(x)=x2+3 at x=1

11/08/21

How to solve this?

Find the equations of tangents for the implicit function x3y+cos(x2y)=x2 at the points on the curve where y=0.
Functions Algebra 2

11/07/21

Let f ( x ) = 14 − x Calculate f ^-1(x)=

Functions Algebra 2

11/06/21

Let f(x) = 11 - x^2 , x ≥ 0 Calculate: f^-1(x) =

Functions

11/04/21

Write the function rule for the output is 2 less than 3 times the input.

Write the function rule for the output is 2 less than 3 times the input. Which I don't really get and it is supposed to be an equation.
Functions Algebra 2

11/04/21

Express the function h ( x ) = ( x + 6 ) ^8 in the form f ∘ g . If f ( x ) = x ^8 , find the function g ( x ) .

Express the function h(x)=(x+6)^8in the form f∘g. If f(x)=x^8, find the function g(x).

11/03/21

How to prove jk=e^j-k using functions and perpendicular tangents

The graphs of the functions f(x)=e^kx and g(x) = e^-jx have tangents which are perpendicular to each other when x=1. Prove hat jk=e^j-k.I tried doing this question and thought i was doing well... more
Functions Calculus Precalculus

10/29/21

Graphs of rational functions

Identify the rational function with smallest degree in the numerator and denominator whose graph matches the graph given below. The function has an x-intercept at x=−1 and a y-intercept at y=2.
Functions Math Polynomials

10/29/21

Consider the following polynomial. Use synthetic division to identify integer bounds of the real zeros. Find the least upper bound and the greatest lower bound guaranteed by the Upper and Lower.

Consider the following polynomial. F(x) = x^3 + x^2 − 22x − 40Use synthetic division to identify integer bounds of the real zeros. Find the least upper bound and the greatest lower bound guaranteed... more
Functions Math Algebra Fractions

10/29/21

Consider the following relation. Find four points contained in the inverse. Express your values as an integer or simplified fraction.

Consider the following relation. y = −x − 5 Find four points contained in the inverse. Express your values as an integer or simplified fraction.
Functions Math Pre Calculus

10/29/21

Determining the Equations of Rational Functions

determine the equation of a rational function, in factored form, with the following characteristics: as x →∞ , y → -0.5 domain: x ∈ (-∞, -2) or (-2, 3) or (3, ∞) zeros; -3 (order 1) and 2 (order 2)
Functions

10/27/21

Find the value for the function

I'm getting the wrong answer to the following question. Find f(x + 1) when f(x) = x2 - 9 / x + 3i added 1 to each portion of the formula to get x2 + x - 8 / 2x + 4the correct answer is x2 + 2x - 8... more

10/26/21

Hi, I need help with Inverse Functions and thank you

State if given functions are inverseg(x)=4-3/2x f(x)=1/2x+3/2 2.g(n)=-12-2n/3 f(n)=-5+6n/5Find the inverse of each function h(x)=3√x-3 g(x)=1/x-2 h(x)=2x3+3 Find the... more

10/23/21

Hi, I need help plz and thank you

g(a)=a3-3a h(a)=3a-1 Find g(h(a))

10/23/21

Hi I really need help. Plz do all the problem

g(a)=a2-3a h(a)=3a-1 Find g(h(a))2.g(t)=-tFind g(g(t))3.g(x)=3x+3 f(x)=x3-3x2 Find g(f(x))
Functions

10/20/21

I Really Need Help With This Question, It Is In The Description Below

Factor f(x) = x^2 - 12x + 36 - 9y^2 by grouping as a difference of squares.
Functions Math Mathematics

10/19/21

The line 3y−6x+9=0 is parallel to which other line?

Between this options y=3−2x y=x−3 y=2x+10 y=6−6x

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