15. Given , find f- (x) = Vx+ 7 and the domain of f-1 (x). Of-" (x) = x³ +7 with domain for f-l (x) : (-∞, ∞ Of-' (x) = x³ + 7 with domain for f ~1 (x) : [7, ∞) Of-1 (x) = x³ – 7 with domain forf-1 (x) : |-7, ∞ Of-1 (x) = x³ – 7 with domain for f-1 (x) : (-∞, ∞)

Q: If f(x) = 10x^2-37x+11, then there are two real numbers a<b such that f(a)=f(b)=4, and there is a…

A: The objective is to solve .

Q: dH f(5) = 8, f' (5) = 4 f(26) = 8, f'(26) = 6, g(5) = 1, g'(5) = -9, and H(x) = f(r² + g(x)). Find…

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Q: Find f'(x) if f(x) 9x (8x+2) 4 2√9x²-6 18x+48 5 (8x+2) 4 -9x² +16x+10 5 4(92²-6) 2 (8x+2) 4 6…

A:

Q: x' (t) = -9 10 -7 (a) x(0) = - 12 -[-] x(t), 14 (b) x(x) = (c) x(-2x)= (a) x(t) = (Use parentheses…

A:

Q: Find f'(x) for each of the following:< Ax) = 3x³ – 2x +4 b Ах) — 3(х + 2)? -2е a 8x* – 3x Ax) = Ax)…

A:

Q: Find the value of k which makes F(x) =(x+k)/(4k-1) if x&lt;=0 and F(x)= x^2+2x+k if x&gt;0 if…

A:

Q: Compute f’(-2) using shortcut rules. f(x) = 5x + 9

A:

Q: Let 11 f(x) = ( – 2a² – 4)(7z² – 4)" - - f'(x) =

A:

Q: Find the derivative of f(z) = (x³ + 5)(z³ – 5) %3D (8z")(5x*) (8z +5)(z – 5) + (z³ + 5)(5x* – 5) (8z…

A: We need to use the product rule.

Q: Let f(x)=6x+1 and g(x)=5-x^2 , find (f o g)(x) a. x^2 b.-6x^2+30 c.-6x^2+31 d.-36x^2-12x+4 e.…

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Q: 1.Find g(f(4)) 2. Find f(h(5)) 3. Find h(f(-2)) 4. Find f(g(x))

A:

Q: ents is

A:

Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.