Find all values of x satisfying the given conditions. f(x) = 2x − 5, g(x) = x² − 3x + 8, and (ƒ o g) (x) = 7.

Let f and g be defined by the following table: Find $\sqrt{f(-1)-f\left(0\right)}-\left[g\right(2){]}^2+f(-2)÷g(2)\cdot g(-1).$

The functions in Exercises 93–95 are all one-to-one. For each function, (a) find an equation for f^(-1)x, the inverse function. (b) Verify that your equation is correct by showing that f(f^(-1)(x)) = x and f^(-1)(f(x)) = x. f(x) = (x - 7)/(x + 2)

In Exercises 95–96, let f and g be defined by the following table: Find |ƒ(1) − f(0)| − [g (1)]² +g(1) ÷ ƒ(−1) · g (2) .

Let f(x) = x² − x + 4 and g(x) = 3x – 5. Find g(-1) and f(g(-1)).

Determine whether each statement is true or false. If the statement is false, make the necessary change(s) to produce a true statement.

If $f\left(x\right)=3x$ and $g\left(x\right)=x+5$, find ${(f\circ g)}^{-1}\left(x\right)$ and $(g^{-1}\circ f^{-1})\left(x\right)$.

Begin by graphing the standard cubic function, f(x) = x³. Then use transformations of this graph to graph the given function. g(x) = x³-3