Suppose the functions f, g, h and I are defined as follows: f(x) = 4x²-5x+1 g(x) = h(x) = +3 1(x) = log₁ (x+3) - log₁ (x-2). Write down D, and solve the inequality f(x) < 0.

Q: (b) If 2log 5+log 4 = 2, find a.

A: The given equation is: 2loga5+loga4=2   As we know the logarithmic properties; 1). logaxb=a·logab…

Q: For any real number b > 1, and any real numbers x True False log, (x - y) = > 0 and y> 0, it must be…

A:

Q: Evaluate f(x) = log, (x) for f(4). f(4) =

A: NOTE: Refresh your page if you can't see any equations. . take x=4

Q: onsider the function F(x)=(2x2-50)/ (x-5). If we require the values of F(x) to be within e…

A: Explanation of the answer is as follows

Q: Find the domain of the function f(x) = log(x + 14). Write your answer using interval notation. The…

A: Given

Q: Let f(x) = x=") – (x²)*, x > 0. %3D -

A: We are given f(x)=xxx-xxx, x&gt;0. As per the question,  we need to solve f(x)=xxx-xxx≤0,   x&gt;0.

Q: Identify the domain of the following functions: (a) f(x) = log (-7x-5) Domain: b) f(x) = In (2x-4)…

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Q: a. Given f(x) = x² − 3 and g(x) = √x + 3. Find (f o g) (x) and write the · domain of (fog) (x) in…

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Q: Express the function h(x) = 5log(x² + 6) the form fog. If f(x) = 5log(x), find the function g(x)

A: We can find the function g(x) from the given composite function in the below steps.

Q: Suppose we have the logarithmic function f(x)= 3log2(x+5)-1. a.) Simplify: 7/f(27) b.) What's the…

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Q: 4. State the restrictions and solve: log2 (x2 + 6) = 1+ log2(2x + 1)

A: Given: log2x2+6=1+log22x+1 To solve the given expression simplify to obtain the value of x.