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The attributes of the function ( f(x) = 3x ) include its linearity, as it represents a straight line with a slope of 3 and a y-intercept of 0. The function is continuous and defined for all real numbers, indicating that it has no breaks or holes. Additionally, it is increasing for all ( x ) values, meaning that as ( x ) increases, ( f(x) ) also increases. The domain and range of the function are both all real numbers.
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If f(x) x2 plus x find f(-3).?
To find f(-3), we substitute -3 into the function f(x) = x^2 + x: f(-3) = (-3)^2 + (-3) = 9 - 3 = 6
If F(x) three x divided by 5 plus 3 is the inverse of F(x)?
If f(x) = 35/5 + 3 then its inverse is f(x) = 5/3*(x - 3).
Using f x 2x plus 7 and g x x-3 find f g x?
To find ( f(g(x)) ), we first need to determine ( g(x) ). Given ( g(x) = x - 3 ), we then evaluate ( f(g(x)) = f(x - 3) ). Next, substitute ( x - 3 ) into ( f(x) = 2x + 7 ): [ f(g(x)) = f(x - 3) = 2(x - 3) + 7 = 2x - 6 + 7 = 2x + 1. ] Thus, ( f(g(x)) = 2x + 1 ).
What does f of x cubed mean?
In mathematics, ( f(x^3) ) refers to the function ( f ) evaluated at the cube of ( x ). This means you first take the input ( x ), cube it (i.e., raise it to the power of 3), and then substitute that value into the function ( f ). For example, if ( f(x) = x + 1 ), then ( f(x^3) = x^3 + 1 ).
If f(x) x and ndash 3 is the inverse of f(x)?
If ( f(x) = x - 3 ), then its inverse function can be found by swapping ( x ) and ( y ) and solving for ( y ). Setting ( y = x - 3 ) gives ( x = y - 3 ), or rearranging it, ( y = x + 3 ). Thus, the inverse function is ( f^{-1}(x) = x + 3 ). This means that applying ( f ) followed by ( f^{-1} ) (or vice versa) will return the original input.
If f(x) x2 plus x find f(-3).?
To find f(-3), we substitute -3 into the function f(x) = x^2 + x: f(-3) = (-3)^2 + (-3) = 9 - 3 = 6
What is the derivative of f plus g of 3 and f times g of 3 given that f of 3 equals 5 d dx f of 3 equals 1.1 g of 3 equals -4 d dx g of 3 equals 7 Also please explain QUICK THANK YOU?
d/dx [f(x) + g(x)] = d/dx [f(x)] + d/dx [g(x)] or f'(x) + g'(x) when x = 3, d/dx [f(x) + g(x)] = f'(3) + g'(3) = 1.1 + 7 = 8.1 d/dx [f(x)*g(x)] = f(x)*d/dx[g(x)] + d/dx[f(x)]*g(x) when x = 3, d/dx [f(x)*g(x)] = f(3)*g'(3) + f'(3)*g(3) = 5*7 + 1.1*(-4) = 35 - 4.4 = 31.1
If F(x) three x divided by 5 plus 3 is the inverse of F(x)?
If f(x) = 35/5 + 3 then its inverse is f(x) = 5/3*(x - 3).
What is the difference between even and odd polynomial functions?
Even polynomial functions have f(x) = f(-x). For example, if f(x) = x^2, then f(-x) = (-x)^2 which is x^2. therefore it is even. Odd polynomial functions occur when f(x)= -f(x). For example, f(x) = x^3 + x f(-x) = (-x)^3 + (-x) f(-x) = -x^3 - x f(-x) = -(x^3 + x) Therefore, f(-x) = -f(x) It is odd
What is f of g of x if f of x equals x squared plus 3 and g of x equals x plus 3?
Let f ( x ) = 3 x 5 and g ( x ) = 3 x 2 4 x
Which equation represents an exponential function that passes through the point (2 36) (x) 4(3)x f(x) 4(x)3 f(x) 6(3)x f(x) 6(x)3?
It is f(x) = 4*3^x.
F(x)=2x+3,a=-1 find 1/f. And graph f and 1/f?
Given the function f(x) = 2x + 3 and a = -1, we can find f(a) as follows: f(a) = 2(-1) + 3 f(a) = -2 + 3 f(a) = 1 So, f(a) = 1. To graph f(x) and 1/f(x), we can plot several points and connect them to visualize the functions. Here are some points for f(x): For f(x): When x = -2, f(x) = 2(-2) + 3 = -1 When x = -1, f(x) = 2(-1) + 3 = 1 When x = 0, f(x) = 2(0) + 3 = 3 When x = 1, f(x) = 2(1) + 3 = 5 When x = 2, f(x) = 2(2) + 3 = 7 Now, to find 1/f(x), we take the reciprocal of each f(x) value: For 1/f(x): When x = -2, 1/f(x) = 1/(-1) = -1 When x = -1, 1/f(x) = 1/1 = 1 When x = 0, 1/f(x) = 1/3 ≈ 0.333 When x = 1, 1/f(x) = 1/5 ≈ 0.2 When x = 2, 1/f(x) = 1/7 ≈ 0.143 Now, we can plot these points and connect them to obtain the graphs of f(x) and 1/f(x).
What is the factor of the monomial 3f6?
3 x f x f x f x f x f x f = 3f6
Using f x 2x plus 7 and g x x-3 find f g x?
To find ( f(g(x)) ), we first need to determine ( g(x) ). Given ( g(x) = x - 3 ), we then evaluate ( f(g(x)) = f(x - 3) ). Next, substitute ( x - 3 ) into ( f(x) = 2x + 7 ): [ f(g(x)) = f(x - 3) = 2(x - 3) + 7 = 2x - 6 + 7 = 2x + 1. ] Thus, ( f(g(x)) = 2x + 1 ).
What does f of x cubed mean?
In mathematics, ( f(x^3) ) refers to the function ( f ) evaluated at the cube of ( x ). This means you first take the input ( x ), cube it (i.e., raise it to the power of 3), and then substitute that value into the function ( f ). For example, if ( f(x) = x + 1 ), then ( f(x^3) = x^3 + 1 ).
If f(x) x and ndash 3 is the inverse of f(x)?
If ( f(x) = x - 3 ), then its inverse function can be found by swapping ( x ) and ( y ) and solving for ( y ). Setting ( y = x - 3 ) gives ( x = y - 3 ), or rearranging it, ( y = x + 3 ). Thus, the inverse function is ( f^{-1}(x) = x + 3 ). This means that applying ( f ) followed by ( f^{-1} ) (or vice versa) will return the original input.
What is the value of the function f(x)3(4-x) when x7?
When x = 7, f(x) = 3*(4-x) = 3*(-3) = -9
