Find the inverse of the function g : R ! R, g(x) = { 3x +...

Find the inverse of the function g : R ! R, g(x) = { 3x + 5 if x is less than equal to 6

5x - 7 if x > 6

Expert Solution

Colby Messinger answered 2 years ago

Find the domain of the function g(x) = square root of 3x+3

The function f(x)=3x+2 is one-to-one a) find the inverse of f b) State the domain and...

The function f(x)=3x+2 is one-to-one a) find the inverse of f b) State the domain and range of f c) State the domain and range of f-1 d) Graph f,f-1, and y=x on the same set of axes

f(x) = −x2 + 3x and g(x) = x − 3 Find the area of the...

f(x) = −x2 + 3x and g(x) = x − 3 Find the area of the region completely enclosed by the graphs of the given functions f and g in square units.

Consider the function. f(x) = x^2 − 1, x ≥ 1 (a) Find the inverse function...

Consider the function. f(x) = x^2 − 1, x ≥ 1 (a) Find the inverse function of f. f ^−1(x) = (b) Graph f and f ^−1 on the same set of coordinate axes. (c) Describe the relationship between the graphs. The graphs of f and f^−1 are reflections of each other across the line ____answer here___________. (d) State the domain and range of f and f^−1. (Enter your answers using interval notation.) Domain of f Range of f Domain...

Let g be the function defined by g(x) = x(x + 1). Find g(x + h)...

Let g be the function defined by g(x) = x(x + 1). Find g(x + h) − g(x − h).

1. You are given the function f(x) = 3x^4 + 4x^3 a) Find the x and...

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For the function f(x) = x^2 +3x / 2x^2 + 6x +3 find the following, and...

For the function f(x) = x^2 +3x / 2x^2 + 6x +3 find the following, and use it to graph the function. Find: a)(2pts) Domain b)(2pts) Intercepts c)(2pts) Symmetry d) (2pts) Asymptotes e)(4pts) Intervals of Increase or decrease f) (2pts) Local maximum and local minimum values g)(4pts) Concavity and Points of inflection and h)(2pts) Sketch the curve

Find all x values for which the function y = x^3 + 6x^2 + 3x +...

Find all x values for which the function y = x^3 + 6x^2 + 3x + 7 has a horizontal tangent line. Find the derivative of f(x) using the definition for a limit.

For the function f(x) = x^2 +3x / 2x^2 + 7x +3 find the following, and...

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Find the third MacLaurin polynomial for the function f(x) = e2x sin(3x)

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