The one-to-one functions g and h are defined as follows. g(x)=2x+3 h={(0, 8), (2, 3), (3, 5), (4, -9), (8, 9)} Find the following. -1 g¹ (x) = ☐ (91-9) (3) =]] -1 h¹ (3) = X 5

Plot the functions x, x2, exp(-x), exp(-x2) on a single graph for x between 0 and 5. Repeat the previous question where you plot the function on four different graphs (two rows and two columns).

Determine what x = 5 is (max/min/neither) of the functionf (x) = 2x2 − 3x + 9

Evaluate the function for (x) = x + 3 and g(x) = x2 - 2. (f - g)(8t) (f – g)(8t) =

A corporate agricultural organization has three separate farms which are to be used during the coming year. Total profit from planting xj acres at farm j is expressed by the function P(x,, X2, X3) = 235x, +540x, + 252x, - 525000 What is total profit if 300, 600 and 450 acres are planted, respectively at the three farms?

Find the inverse of the function f(x)= (3+9x)/(15-6x)

Find the derivative of each function. h(x) = (4x³ + 8x)(16 – 5x) 145x7 – 240x4 – 192x* + 128 O -160x7 + 240x° – 128x² – 192 O 192x7 + 145x³ + 240x4 – 128 O -160x7 – 240x° + 192x² + 128

Find both of the two x intercepts of the function F(x)= (x-3)(x+7)/x(x-5) Smaller intercept = Larger intercept =

If f (x) = x² + x and g(x) = 3, evaluate and simplify a = 1 and a = x. f(a+h)-f(a) h and g(a+h)-g(a) h when

If h(x) = 2. 2x and g(x) = x², find h(g(x)). Do not simplify. O h(g(x)) = 2æx? Oh(g(x)) = h(2æ²) h(2a²) Oh(g(a)) = 2x(a) O h(g(x)) = 2² Oh(g(x)) = (2x)? Question Help: DVideo Calculator Submit Question