Number and Algebra
Functions
Geometry & Trigonometry
Statistics & Probability
Calculus
Determine the domain of g(x)=log2(3−x)g(x) = \log_{2}(3 - x)g(x)=log2(3−x).
Determine the range of f(x)=3e−xf(x) = 3e^{-x}f(x)=3e−x.
Calculate the domain of f(x)=ln(4x+5)f(x) = \ln(4x + 5)f(x)=ln(4x+5).
Find the range of f(x)=e2xf(x) = e^{2x}f(x)=e2x.
Determine the domain of f(x)=ln(5−x2)f(x) = \ln(5 - x^2)f(x)=ln(5−x2).
Find the domain of h(x)=ln(x2−4)h(x) = \ln(x^2 - 4)h(x)=ln(x2−4).
Find the domain of f(x)=ln(x2−2x−3)f(x) = \ln(x^2 - 2x - 3)f(x)=ln(x2−2x−3).
Find the range of f(x)=ex+e−xf(x) = e^x + e^{-x}f(x)=ex+e−x.
Determine the range of f(x)=ex1+exf(x) = \frac{e^x}{1 + e^x}f(x)=1+exex.
Calculate the domain of f(x)=ln(x−1x+2)f(x) = \ln\bigl(\tfrac{x-1}{x+2}\bigr)f(x)=ln(x+2x−1).
Determine the range of h(x)=xex+4h(x) = x e^{x+4}h(x)=xex+4.
Determine the range of f(x)=x2exf(x) = x^2 e^xf(x)=x2ex.
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Question Type 2: Drawing logarithmic functions as inverses of the exponential functions
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Question Type 4: Finding the inverses of logarithmic and exponential functions