Consider the following functions. f(x) = x + 9 g(x) = 4x - 3 Use the functions to find (g o f-1. (g o ŋ-1. %3D

Q: Find the domain of the function.

A: Given:            fx=1-2x The function is defined for 1-2x≥0

Q: Evaluate the following expressions given the functions below: g(x) = -2x + 1 f(x) = x² + 1 h(x) = 3…

A:

Q: The function f(x) = k(3 – x – x³) is one-to-one and f-1(45) = -6. Find k. %3D k = Need Help? Read It…

A: We have given a function f which is one -to-one.  And f(-6) =45. We have to find the value of k

Q: A scientist observed that the speed S at which certain ants ran was a function of T, the ambient…

A:

Q: Consider the following functions. f(x) - x + 7 g(x) = 4x – 3 Use the functions to find (g o )-1. (g…

A: Given, f(x) = x+7 and g(x) = 4x - 3 ∴ (g o f) = g(f(x)) = 4(x+7) - 3 => (g o f) = 4x +25

Q: Evaluate f(x + 4) for the function f(x) = x - 2x

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Q: The functions f, g, and h are defined as follows. -2 f(x)=-3+/x+9 g(x)= -5+x h (x) = -10 - Find…

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Q: 8e3% + 4 If f(x) find the inverse function. 5e3z + 9 f1(x) =

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Q: For f(x) = x2 +3 and g(x) = x² - 7, find the following functions. a. (fo g)(x); b. (g o f)(x); c.…

A: f(x)=x2+3 and g(x)=x2-7

Q: Determine g(x + a) - g(x) for the following function. 8(x) = -4x2 + 3x

A: topic - functions

Q: Using the graphs of the functions y=f(x) (red dashed line) and y = g(x) (blue solid line), evaluate…

A:

Q: Determine the power function that resembles the end behavior of 4 f(x) = -4x*(5 – 3x)*(2r + 7)* ( –…

A: 1. Power function P = axn a ,n= real constant, x is variable. 2. The end behavior of f(x)  means…

Q: A power company calculates a person's monthly bill from the number of kilowatt-hours (kWh), x, used.…

A: Solve as general

Q: For f(x) = 3x-9 and g(x) = find the following function 3 %3D a. (fo g)(x); b. (g o f)(x); c. (f o…

A: f(x) = 3x-9 9(x) = x+ 93 a) (f0g) (x) = f (g(x)  = f x+93 = = 3x+93-9= x+9 -9 =x(fog) (x) =x…

Q: Express the function in the form f ∘ g.

A: Given,  Fx=x-95   Since the formula for F says to first subtract 9 and then take the power of 5, we…

Q: futc onc. n(x) = 100x - 5x2 This function calculates the number of cars able to be produced at a…

A:

Q: Domain for glx)=sX %3D

A: To find the domain of g(x).

Q: Determine where the function is concave upward and where it is concave downward. x + 6 x - 6 f(x)…

A: Use the values where the second derivative is zero to set up intervals. Substitute a value into each…

Q: Consider the functions f(x) = 2x +8 and g(æ) = V-x- 3. Determine each of the following. %3D %3D fo…

A: Given: To Find:

Q: Evaluate the indicated function for f(x) = x2 + 1 and g(x) (f + g)(t - 5) = x - 3. %3D (f + g)(t –…

A: First find the addition of the function (f + g) (x):