WebFor the first part of the numerator, I need to plug the expression " x + h " in for every " x " in the formula for the function, using what I've learned about function notation, and then simplify: f ( x + h) = 3 ( x + h) 2 − ( x + h) + 4 = 3 ( x2 + 2 xh + h2) − x − h + 4 = 3 x2 + 6 xh + 3 h2 − x − h + 4 Webh(x) = 3x2 h ( x) = 3 x 2 Find the properties of the given parabola. Tap for more steps... Direction: Opens Up Vertex: (0,0) ( 0, 0) Focus: (0, 1 12) ( 0, 1 12) Axis of Symmetry: x = …
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WebApr 14, 2024 · If h(x) = − x2 − 3x, how do you solve h (-4)? Algebra Expressions, Equations, and Functions Function Notation 2 Answers WADU HEK Apr 14, 2024 h (-4) = -4 Explanation: Since x is given (x = -4). Then, all you need to do is log in -4 for each value of x h (-4) = −( −4)2 -3 (-4) h (-4) = - (16) + 12 = -4 Answer link Carl S. Apr 14, 2024 h( −4) = −4 WebView Unit_1_Test_Review.pdf from MATH 27 at North Atlanta High School. Unit 1: Limits Test Review For 1 - 10 Find the limit if it exists. 3x2 − 3x + 1 x→∞ x3 + 4x2 − x − 2 2x4 … medium employeds
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Webh(3) = 1 Explanation: If h(x) = −x2 +10 then (XX)h(3)= −((3))2 +10 ... Given: p(x) = −5∣x∣+ ∣−x +1∣ , h(x) = −x2 −3x , and g(x) = 5− x+30 ... Alan P. May 26, 2015 Note that the … WebSep 7, 2024 · Find the equation of a line tangent to the graph of h(x) = 1 (3x − 5)2 at x = 2. Solution Because we are finding an equation of a line, we need a point. The x -coordinate of the point is 2. To find the y -coordinate, substitute 2 into h(x). Since h(2) = 1 (3(2) − 5)2 = 1, the point is (2, 1). For the slope, we need h ′ (2). WebWe aren't told what f is, but we do know that. f ′ ( x) = 3 x + 4. Then. f ′ ( g ( x)) = f ′ ( x 2 − 1) = 3 ( x 2 − 1) + 4 = 3 x 2 + 1. Also g ′ ( x) = ( x 2 − 1) ′ = 2 x. So, using the chain rule: [ f ( g ( x))] ′ = f ′ ( g ( x)) ⋅ g ′ ( x) = 3 x 2 + 1 ⋅ 2 x = 2 x 3 x 2 + 1. Share. medium electric water heater