# The graphs of the linear functions f and g are shown above. If h(x)=f(x)+g(x), then h′(x)=

2 answers

###### Question:

The graphs of the linear functions f and g are shown above. If h(x)=f(x)+g(x), then h′(x)=

## Answers

Based on the graph, f(x) = 1/2x+3 g(x) = -x+4so, h(x) = -1/2 x +7Since h'(x) is the derivative or slope of h(x) and h is a line, h'(x) = -1/2, Answer C.

The required value for h'(x) is -0.5The standard form of the equation of a line is expressed as;y = mx+ b where:m is the slopeb is the y-intercept:From the graph shown: f(x) = 0.5x+3 g(x) = -x+4Taking the sum:h(x) = f(x) + g(x)h(x) = 0.5x + 3 - x + 4h(x) = -0.5x + 7Find the derivative:h'(x) = -0.5hence the required value for h'(x) is -0.5Learn more here: https://brainly.com/question/17003809

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