Robert needs to make a small box to hold paper clips. He has an index card that is 10 cm by 16 cm. He cuts an equal-sized square (with each side x cm) out of each corner and folds up the sides, as shown below.

Q: Let f(x) f-¹(x) = 1 x + 11

A: we need to find the inverse of the function.

Q: The figure 2 y 1 2 10 of the function f(x) = ||

A: We will find out the required function.

Q: Can you please find (f o g o h)(x) where f, g and h are defined, and it's in the attached picture.…

A:

Q: 1. The function f(z) factors to f() = (* + 2)(ar + bz + c). Find (a + 6+ c). S(z) = 3+3r-5x+2 (a) 5…

A:

Q: 3) Let f(x) = and g(x) = 2 +x 1-3 x Compute and simplify (f g) (x), then state its domain.

A: Given: f(x)=x2+xg(x)=11-3x The objective is to find f∘g(x)

Q: If f is one-to-one and f( – 15) = 1, then || f-1(1) = and (f( – 15))¯ ||

A: The objective is to to find the required values

Q: 1. 2x² + 3x-2 x²-x-6 a. Factor, reduce and state any restrictions for x. Show all algebra steps.…

A:

Q: 24. The set of zeros of f(x) = x³ + 4x² + 4x is OA B OC (A) {-2} (B) (0, -2) (C) {0, 2}

A: To determine the set of zeros of fx=x3+4x2+4x.

Q: 5.) Evaluate f(-3) for f(x) = x³ +3x + 17

A: Given  f(x) =x3+3x+17

Q: 4. If the function f(x) is defined by f(x) =-6 then which of the following is the value of f(10)?…

A: We solve using substitution

Q: Write the formulas of fog for pairs of real functions f, g. (a) f(r) = x², 9(x) = x – 2 (b) f(x) =1,…

A: A composite function is generally a function that is written inside another function. Composition…

Q: In each of the following, determine whether

A: We have to decide whether y is a function of x or not.

Transformation of Graphs

The word ‘transformation’ means modification. Transformation of the graph of a function is a process by which we modify or change the original graph and make a new graph.

Exponential Functions

The exponential function is a type of mathematical function which is used in real-world contexts. It helps to find out the exponential decay model or exponential growth model, in mathematical models. In this topic, we will understand descriptive rules, concepts, structures, graphs, interpreter series, work formulas, and examples of functions involving exponents.